Right now they are focusing on prospecting and bringing resources to Earth.
As some may have guessed, most of the colonization is left to you, the volunteer captains
However there are plans for SOL Corporation colonizing, as we discover new star clusters. Work has already started on building a STARGATE in Earth orbit.
The gate is supposed to maintain a stable wormhole between Earth orbit and the colonies that will be located at huge distances in different clusters, usually near the center of the star cluster. However this is still theoretical and needs breakthrough advances in science and technology. We know for sure it requires huge amounts of energy and resources to maintain, hence it needs to be in orbit of a big colony with lots of resources either at location or imported.
You might be asked to help with bringing the materials for manufacture and the technical staff at the other end of the gate, so watch the news and bulletin boards