Screen doesn't turn back on
I have a brand-new Macbook Pro


Well the obvious first solution that comes to my mind is: use your excellent AppleCare support service! Since it's brand new, presumably it's within the initial complementary AppleCare period. Their tech support is awesome, and if they can't solve the problem, you can take it in to an Apple store for repair, or they'll ship you a box and return shipping label to have the machine shipped to them and fixed, free of charge.