I lived in India for three months doing a work experience internship for university and I found it an incredible place to be. It is amazingly different from the first world and is full of tasty culinary experiences. You can dine (very cheaply) at a five star hotel with full white glove service one day and then slum it with the locals at a corner food stall the next. Because such a large portion of the population is vegetarian you can get it at any store. In fact in India you will always get the option of ‘veg or non-veg’.
If you want to do the touristy thing there are a thousand and one different places to visit and see. I went somewhere every weekend (flights cost from US$20 if you book ahead) and there are still places left to visit.
With a billion people living there you are bound to make some new friends too.