Matthew 25 and the previous chapter, Matthew 24, are the only two chapters in the four gospels for which Swedenborg offered verse by verse explanations. It's great that we have these, because we get some assurance that the methods that he used in his exegesis of Genesis, Exodus, and Revelation can also be applied to the gospels.

The commentary on Matthew 25 is divided into chunks associated with explanations of chapters in Genesis, in the middle of "Arcana Coelestia". For chapter 25, it starts in Arcana Coelestia 4635-4638. Here's an excerpt from no. 4636:

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"The Lord used this parable to describe His own coming. This is clear from every detail in it as well as from the final sentence where He says, 'Watch therefore, for you do not know the day, nor the hour, in which the Son of Man will be coming' - words similar to those used in Chapter 24.... It has been shown already that His coming is the close of the age or the final period of the Church."

Next, in Arcana Coelestia 4637, there's a strong clear attestation to the power and importance of the internal sense of the Word:

"Consequently anyone who does not know this cannot make anything else out of the Lord's parables than ordinary comparisons which hold nothing deeper within them, as with this particular parable concerning the ten virgins. He makes nothing more out of it if he does not know what 'virgins' means in the internal sense, and also what ten, five, lamps, vessels, oil, those who sell, a wedding feast, and every other detail mean. And the same is true with all other parables. As has been stated, the details mentioned by the Lord in them look, in the outward form they take, like ordinary comparisons, but in their internal form their nature is such that they fill the whole of heaven. This is because the internal sense is contained within every detail, and that sense is such that its spiritual and celestial content spreads like light and flame throughout the heavens in all directions. That sense is utterly superior to the sense of the letter, flowing from every phrase and every word, indeed from every tiny letter."

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(Swedenborg's exegesis of the chapter continues in 4662-4664, 4807-4810, 4954-4959, and 5063-5071. It's well worth the read!)

Also, we'll append the commentary on this chapter that Rev. John Clowes wrote back in the 1850's:

Verses 1, 2, 3, 4. That in the last time of the old church and the first of the now, they who are of the church will receive spiritual truths, and some will be in truths wherein is the good of love and charity, and some in truths wherein is no good of love and charity.

Verse 5. That by reason of delay, they will be sluggish in the things of the church, and will cherish doubt.

Verse 6. But that at the last time of the old church and the first of the new, there will be a change, for then will be the judgement, namely, acceptance and rejection.

Verses 7, 8. And then all will prepare themselves, and they who are in truths without the good of love and charity will be willing to have good communicated from others to their empty truths.

Verse 9. But this is impossible, since no good can then be communicated but the good of merit.

Verse 10. Wherefore the application is preposterous, because none can be received into heaven but those who are principled in good and thence in truth.

Verse 11. Nevertheless, they who are in truths without good, are willing to enter from faith alone without charity, and from works in which is no life of the Lord, but only the life of self.

Verse 12. But they are rejected, because they are not in any charity towards their neighbour, nor by it in conjunction with the Lord.

Verse 13. Therefore the life ought to be regulated according to the precepts of faith, because the time of acceptance, and the state, is unknown to man.

Verses 14, 15. For the Lord gives to all who are in the church the knowledges of truth and good from the Word, with the faculty of perceiving them.

Verses 16, 17, 18. And by these knowledges and this faculty, some procure to themselves much intelligence and wisdom, and others procure some, and others none.

Verses 19-23. Wherefore at the Lord's coming, they who had procured much intelligence and wisdom, and they who had procured some, are accepted of the Lord, and gifted by Him with dominion over all evils and falsities, and admitted to conjunction of life with Himsel

Verses 24-31. But they who had procured none are then deprived of the truths which they had possessed in the memory only, and not in the life, and become principled in mere falsities separated from all good and truth.

Verses 24, 25. For not having joined charity to faith, they think harshly of the Divine Mercy, and act from mere natural fear, which obscures the knowledges of heavenly truth.

Verses 26, 27. Whereas they ought rather, by those knowledges, to have procured to themselves charity, and thus have attained conjunction of life with the Lord.

Verses 28, 29. Therefore those knowledges are taken away from them, and conferred on those who apply them to the reformation of their lives.

Verse 30. And they who have lived in faith alone without charity, are deprived of all the truths of faith, and all the goods of charity, having their lot with those who are in mere evils and falsities.

Verse 31. For when Divine Truth shall appear in its light, through the angelic heaven, then shall be the judgement.

Verse 32. And then shall the goods and evils of all be made manifest in the Light Divine, and there shall be a separation of what is good from what is evil, or of those who are in charity and thence in faith, from those who are in faith alone, and not in charity.

Verse 33. And this separation will be according to truths derived from good with the good, and according to falsities derived from evil with the evil, thus every one will be arranged according to his life.

Verse 34. Then shall they who are in charity and thence in faith be received amongst those in heaven who are in truth; derived from good.

Verses 35, 36. Since they are in the affection of good and truth, because proceeding from the Lord, and are averse from what is evil and false, because proceeding from themselves, and thus are in humiliation grounded in self-acknowledgment, and thence in all the offices of charity.

Verses 37, 38, 39. And yet if they had seen the Lord Himself in all the offices of charity, every one would have done them, but not from love to Him, but from fear, nor for the sake of Him, but for the sake of themselves.

Verse 40. Nevertheless the truth is that the Lord is present with those who are in the good of love and charity because He is in that good itself.

Verse 41. But they who are in faith and not in charity, will then avert themselves from all good and truth, and convert themselves to what is evil and false, and remain in the craving of infernal evil.

Verses 42, 43. Since they have never been in the affection of good and truth because proceeding from the Lord, nor averse from what is evil and false because proceeding from themselves, nor in humiliation grounded in self-acknowledgement, nor in any offices of charity thence derived.

Verse 44. And yet in the external form they have done those offices, but not from a principle of love to the Lord, but from fear, thus not for the sake of Him, but of themselves.

Verse 45. For they who are not in the affection of good and truth from the Lord, are not influenced by love to the Lord, but by self-love.

Verse 46. All such therefore will be everlastingly tormented by the concupiscences of evil, but they who are in the good of charity, will have life from that good, because it is from the Lord, who is the life itself.

148. And upon the stone a new name written, which no one knoweth except he that receiveth, signifies a state of interior life unknown to all except those who are in it. This is evident from the signification of "name," as being the quality of state (of which see Arcana Coelestia (1754, 1896, 2009, 3237, 3421); here the quality of the state of the interior life, because it is said "a new name, which no one knoweth except he that receiveth," for the quality of the state of the interior life is wholly unknown to those who are not in the interior life. Those are in the interior life who are in love to the Lord, and none are in love to the Lord except those who acknowledge the Divine in His Human (that to love the Lord is to live according to His precepts, see Arcana Coelestia 10143, 10153, 10578, 10645, 10829). Interior life is the spiritual life, in which the angels of heaven are; but the exterior life is the natural life, in which are all who are not in heaven. With those, moreover, who live according to the precepts of the Lord and acknowledge the Divine in His Human, the interior mind is opened, and man then becomes spiritual; but those who do not so live, and do not acknowledge the Lord, remain natural. (That to all who are not in heavenly love the state of the interior or spiritual life is unknown, see in the work on Heaven and Hell 395-414; and in The Doctrine of the New Jerusalem 105, 238.)

[2] That "name" in the Word signifies quality of state is evident from many passages there, some of which I will here cite in confirmation. Thus in Isaiah:

Lift up your eyes on high and see; who hath created these? He that leadeth out the host in number; that calleth them all by name (Isaiah 40:26).

"His calling them all by name" is knowing the quality of all, and giving to them according to the state of love and faith with them. In John the meaning is similar:

He that entereth in by the door is the shepherd of the sheep. To him the porter openeth, and the sheep hear his voice; and he calleth his own sheep by name, and leadeth them out (John 10:2-3).

In Isaiah:

Thus saith Jehovah thy Creator, O Jacob, and thy Former, O Israel, Fear not; for I have redeemed thee, and have called thee by name; thou art Mine (Isaiah 43:1).

In the same:

That thou mayest know that I am Jehovah, who had called thee by thy name. For Jacob My servant's sake, and Israel My chosen, I have called thee by thy name, when thou didst not know Me (Isaiah 45:3-4).

"I have called thee by thy name" means that He knew the quality of the state of the church; for "Jacob" and "Israel" are the church, "Jacob" the external church, and "Israel" the internal.

[3] In the same:

Israel, if thou hadst hearkened to My commandments, his name should not have been cut off nor destroyed from before Me (Isaiah 48:18-19).

"The name being cut off and destroyed from before Jehovah" denotes the quality of the state by which conjunction is effected, which state is the spiritual state of him who is of the church signified by "Israel." Again in the same prophet:

Jehovah hath called me from the womb, from the bowels of my mother doth He make mention of my name (Isaiah 49:1).

here "making mention of the name" is knowing the quality. In the same:

For Zion's sake I will not be still, and for Jerusalem's sake I will not be quiet. And the nations shall see thy righteousness, and all kings thy glory; and thou shalt be called by a new name, which the mouth of Jehovah shall utter (Isaiah 62:1, 2).

In the same:

He shall call His servants by another name (Isaiah 65:15).

"To call by a new name," and "by another name," is to bestow another state of life, namely, a state of spiritual life. In Ezekiel:

The city of bloods, polluted by name (Ezekiel 22:2, 5).

"The city of bloods" is the doctrine that offers violence to the good of charity; this is said to be "polluted by name" when it abounds with falsities and evils therefrom, which constitute its quality.

[4] In Moses:

Moses said unto Jehovah, Thou hast said, I know thee by thy name. And Jehovah said unto Moses, This word also that thou hast spoken I will do, for I know thee by name (Exodus 33:12, 17).

"His knowing Moses by name" is knowing his quality. In Revelation:

Thou hast a few names in Sardis which have not defiled their garments. He that overcometh, the same shall be clothed in white garments, and I will confess his name before My Father. He that overcometh, I will write upon him the name of My God, and the name of the city of My God, the New Jerusalem, and My new name (Revelation 3:4, 5, 12).

It can be seen that "name" here signifies the quality of state in respect to the good of love and the truth of faith. In another place:

Whose names have not been written in the book of life (Revelation 13:8; 17:8).

"Names written in the book of life" are the quality of all things of man's love and faith, the all things of his spiritual life. In another place:

They shall see the face of God and the Lamb, and His name shall be in their forehead (Revelation 22:4).

"His name in their forehead" is a state of love, for "forehead" corresponds to love, and therefore signifies love.

[5] "Name" in the Word signifies the quality of man's state, because in the spiritual world each one is named according to the state of life in which he is, thus variously; for spiritual speech is not like human speech; all things there are expressed according to ideas of things and of persons; and these ideas fall into words. (This can be seen more clearly from what is shown on The Speech of the Angels in Heaven, in the work on Heaven and Hell 234-245; also see above, n. 102, 135, where it is shown what "the name of Jehovah," "of the Lord," and "of Jesus Christ" signify in the Word.)