Visiting New York in June is hot no matter what. But, visiting New York during the Pride March is hot in many ways. There are sexy dancers on floats, there are crowds of diverse people mobbed around the route, and it is the thing to do on the day it happens, causing residents and tourists alike to join in.
A great way to join in, and what my friends and I did, is to simply follow the parade route to the end. The best views and most quintessential New York City experience happens at the end, on Christopher Street. After getting there it's easy to stop in the Village for slices of pizza and cool beers.