THINGS TO DO IN CONNECTICUT

I'm going to be living in Connecticut for the next six months, but I know absolutely nothing about the state. If you have any recommendations on things to do there, I'd love to know them!
  1. I'll be kind of in the middle of the state
  2. Take a bus/train to NYC
    I plan on going to as many Broadway shows as humanly possible
  3. Visit my friend at Yale
    Yeah I'll do that too, I'm glad I know someone there 👌