I would bring some with you and just make sure your labor and delivery nurse and the person who is there to support you through labor are aware what you would like to do (just in case of an emergency and you aren't available to feed her yourself). And, I'd probably bring ready to feed in those same 4oz bottles that they give you in the hospital - I don't think the hospitals carry bottles, water, etc.
At my most recent birth (about a year ago), the hospital was providing Enfamil and I really would have preferred Similac - selfishly because Enfamil had sent me about $3 in coupons and Similac had given me $100 in coupons - so I asked if they had it. They did have some, but not the "give away bag." Apparently the formula companies just take turns providing the freebies - so if you give birth in April, the "standard" might be Enfamil, but if you give birth in October, it might be Similac.
I started him on Similac and he did just fine, so we stuck with it. Of course, if there had been issues, I would have switched him. You never know with formula.