Yes bring civvies to camp. You will get to wear them on your day off (should be Sunday) and there will be a dance (mandatory fun time) which sometime you will be able to wear civvies (sometime you wear your PT gear). But during free time if I remember right we got to wear civvies. So bring some civvies but don't go over board your locker will be small.
You will have fun, just don't get sick like I did when I went to basic and I was stuck in the MIR (medical information room) for 3 days.