You will do about a week of preliminary marksmanship during CBT and will qualify on your M4 during the following summers. That is the bare minimum of what everyone will do. You will also do weapons familiarization on ranges w/ M240s, M249s, M320s, and AT-4s which I enjoyed.
During the academic year, you can sign up to go to the EST range, which is a simulator w/ air-powered M4s (and 240s, M9s, whatever you really want) to practice grouping. Depending on your company, during weekend military training you may get to go to the Buckner ranges as well. We went and did some target shooting with M9s, which was fun. I do believe we have an indoor range that is open for us, though I have never used it so I cannot comment on it.
In addition, we have a Corps Squad rifle team, club combat weapons team, irregular warfare group, skeet and trap team, pistol team, hunting club, etc. If you are more interested in military-oriented shooting then you can join your company Sandhurst team and will be able to get out on the range.