New York City, here I come!!

My biggest adventure yet is just days away. I am so nervous, yet way too excited. Part of me has a plethora of plans, but the other part of me has none. I am going to be busy, and somehow, bored. I will be with lots of people, and then by myself. To be quite honest, I kind of feel like Rapunzel in the movie, Tangled. 

Does it make sense? The whole plot of the movie is that she leaves everything she knows to fulfill a dream... in a 2 day adventure. My trip is two days and I will be going to fulfill a dream (more about that in a few days). But, unlike the movie, I will not have a horse, chameleon, or a felon accompanying me (unless I meet one of them in the city =) ). I have never really been anywhere without someone I knew... EVER. This is going to be beyond crazy. And, while the second day I'll be interviewing, I have the entire first day absolutely FREE!!

The problem- I don't know what to do. Any suggestions of what to eat, where to shop, or fun things to do in New York City?

Thanks!