You can probably expect this:
Seriously, this is not a first car. Take the money you'd spend on this car, buy a piece of **** beater, and save the rest. When you're experienced enough to handle a high powered RWD car, go out and buy one then.
You can say you're going to be safe and take it easy all you want, but **** will happen when you're driving (whether you cause it, or another driver causes it). Lack of experience + high powered RWD sports car + think and react fast moment = bad news (ya know, like your 370z stuck in a tree).
With that said, if you're in your late teens and have a decent amount of driving experience under your belt, and you're a mature and responsible driver...you can probably expect what others have said: some looks and a good driving experience. I still wouldn't buy a Z though if I were you.