NYU is worth going if you know exactly what you want to do. Otherwise, its very difficult to stand out here since there are a lot of competitive, smart kids. The name is prestigious and will help on resumes if you are seeking a medically related job as NYC'ers seem to respect NYU a lot (a top 15 hospital, Bellevue affliations, the pre med profs are top notch). Also, the profs are very well connected and are more than willing to help you out provided you go to their office hours, etc
The pre med classes here also prep you very well. The majority of my NYU friends got mcats ranging from 30-41; they almost all attribute that to the tough pre med classes (orgo here is a killer!); they also got into MD granting schools (3.3+); i bet if you got this gpa at a state school, you would have a tougher time getting in.
However, if you can get more aid from a school of NYU caliber or higher (Michigan, Emory, Columbia, etc), I would suggest going there. Otherwise, with all things equal, NYU is definitely worth the fees.