This neighborhood has developed many artists, among them Bob Dylan. For the mass demand for apartments, the prices have risen a lot, and most of the residents are families in good standing.
Look around. You can be impressed by the brown houses and greenery around. On weekends you can have fun hanging around bars and clubs here. If you are looking for something calmer, feel free to go into one of the galleries in Greenwich Village, and drink coffee with hot baked goods.
At the north end of the Village, you will find Washington Square, where you will for sure see students having fun and relaxing, street performers, acrobats, chess players, and all types of people.
Greenwich Village is one of those places that gives you a feeling of a small village in the midst of a large city. Go and have a blast!