Okay, you DON'T need a full seabag. You will need your working/dress uniforms. I didn't use utilities once while there last year. You will need the Navy PT gear. No, I don't mean a t-shirt and shorts any style, but the actual stuff that says Navy and is reflective and all that good stuff. You will PT 3 times a week, mostly.
The Navy is going to pay for you to bring your car there and back. I don't see a reason not too unless you're really concerned about the mileage. Plus it's a pretty nice drive depending on the route you take. Note, parking sucked last year, and I'm sure it won't be any better this year. I don't know what a-school you went to, but the barracks are pretty much just like an a-school two man room. Closet, desk and bunk. That's it, so keep all you bring to an absolute minimum. I would minimize everything. Any other questions, let me know I'll be happy to answer.