Congratulations! I remember that feeling!
I have a MacBook, because we had to buy them through the program. I really like it though - small and easy to use. The AirDrop feature has come in very handy as well.
You won't need a lab coat, unless your school requires one. I'm pretty much always in scrubs
(which isn't nearly as fun as I thought it would be).
There are several threads floating around about supplies, so I won't go into them here.
I recommend you rest, and spend time with friends and family and just enjoy your summer. There's so much learning to come and excitement in your future!