The meaning of "to seek" in the Bible is pretty straightforward, but there is a bit of nuance. In most cases "seek" or "look for" is connected with truth and knowledge, where "desire" is connected with love and affection. This makes sense; the idea of "seeking" is connected to sight, and sight corresponds to our intellect and capacity to understand truth.

(Verweise: Apocalypse Explained 550; Apocalypse Revealed 429; Arcana Coelestia 4719, 6770, 6771, 7021, 8298)

2837. 'Jehovah will see' means the Lord's Providence. This is clear from the meaning of 'seeing', when it has reference to Jehovah or the Lord, as foreseeing and providing, dealt with in 2807 - for Jehovah is the Lord, see 1343, 1736, 2156, 2329. In the literal sense this phrase is a place-name, but in the internal sense it is the character of the state under description that is meant. For periods of time and measurements of space belong solely to the natural order, and therefore when the sense of the letter of the Word passes over from the natural order into heaven the natural idea of those things perishes completely and becomes the spiritual idea which corresponds to them.