You won't have to strip in front of anyone. When you are admitted, they leave you alone in a room with a curtain, just in case someone walked in. Then you are in a private room in the hospital, so there is no one there unless you have a friend, family member, or nurse checking on you.
I personally despise hospital gowns. Can't they come up with something warmer, better fitting, oh and maybe just a teensy bit more stylish. Velcro perhaps? C'mon people!
Good luck with your surgery. If you get Kathy, Charlotte, or Susan as your nurse, tell them Jenn from Miami says hi! You'll be in excellent hands.