*I love, love, love the various tea/coffee shops in Harvard Square. I do most of my studying in the mornings in them, and kind of rotate through them on a weekly basis. My top three are Dado Teas, which has really nice herbal teas and bubble tea (among other things) in a store with a TON of windows so you can watch the Square as you work, Tealuxe, which has simply the best tea I've ever had, although they do have a tendency to play loud punk-rockish type music, and Burdicks, which has amazing hot chocolate and other assorted dessert-things.
*Harvard Square/Harvard on the weekends. There's always a ton of people out, even in the middle of winter, and there are usually street performers.
*If you want to see where you'll be spending a lot of time as a HLS student, try out Cambridge Commons. The beer is excellent, the food is not bad, and it's right near the law school, so lots of us are there a lot of the time. If you're looking for more night-life, the Kong is super popular with law students (I've never been myself, actually).
*If you're feeling adventerous enough to leave Harvard Square, there are a bunch of great parks and museums in Boston. My personal favorites are the Isabella Gardner Museum (free to Harvard students), and the Harvard Botanical Gardens. I also love walking down the Charles River - it's free, there's a lot of boats on it, and since it's spring, it's mobbed.