Strawberry or banana daiquiri, pina coladas, a slow bun fizz, that's all I can think of. Out of all the hot women here on ask, it's hard to believe not one of them have been a bartender! What the hecks goin on here!?
You would be better off starting with something like a glass of wine. Until you have a good idea of your tolerance for alcohol, it's a good idea to go slow. And, you can ask the bartender for advice as to what would be a good one to start with. Personally, I like Pro Secco, which is a lovely Italian wine, similar to champagne. But if you want to have a sort of beginner's cocktail, you could always ask for a classic champagne cocktail. It's really quite nice, and it won't leave you with an awful headache and upset stomach the next day (that is, no hangover--unless you drink too many).