Moses's name appears 814 times in the Bible (KJV), third-most of any one character (Jesus at 961 actually trails David at 991). He himself wrote more of the Bible than any other one person, and his life dominates four of the five books he wrote. So to say he's significant is understating things.
Fittingly, his spiritual meaning is complex and important, and evolves throughout the course of his life. To understand it, it helps to understand the meaning of the events in which he was involved.
On an external level, of course, Moses led the people of Israel out of Egypt through 40 years in the wilderness to the border of the homeland God had promised them. Along the way, he established and codified their religious system, and oversaw the creation of its most holy objects.
At the inmost level, this story – like all of the Bible – is about the Lord and his spiritual development during his human life as Jesus. Swedenborg only offers glimpses of that meaning, however.
At a less-deep level, Moses's story deals with the establishment of the third church to serve as a container of knowledge of the Lord.
The first such church – the Most Ancient Church, represented by Adam and centered on love of the Lord – had fallen prey to human pride and was destroyed, a destruction represented by the flood. The second – the Ancient Church, represented by Noah and the generations that followed him – was centered on love of the neighbor, wisdom from the Lord and knowledge of the correspondences between natural and spiritual things. It fell prey to the pride of intelligence, however – represented by the Tower of Babel – and at the time of Moses was in scattered pockets that were sliding into idolatry.
Through Moses the Lord esablished a third church, one more external than its predecessors but one that could preserve some knowledge of the Lord and could, through worship that represented spiritual things, make it possible for the Bible to be written and passed to future generations. That church was among the people of Israel.
Moses's role, then, was to establish those forms of worship and to make the people obedient. As such, his primary representation is as what Swedenborg calls "the Law of God," the rules God gave the people of Israel to follow in order to represent spiritual things. This can be interpreted narrowly as the Ten Commandments, more broadly as the books of Moses, or most broadly as the entire Bible.
Those rules and the forms of worship they created were given as containers for deeper ideas about the Lord, deeper truth, and at some points – especially when he was first leading his people away from Egypt, a time before the rules had been written down – Moses takes on the deeper representation of Divine Truth itself, truth from the Lord. At other times – especially after Mount Sinai – he has a less exalted meaning, representing the people of Israel themselves due to his position as their leader.