I moved to Boston five years ago and quickly fell in love with the city. Here is a rundown of some of my favorite things to do and places to visit:
The Isabella Stewart Gardner Museum - located along a string of parks called the Riverway in Boston (a great place to run). Not only is the art fantastic, but there is a charming enclosed courtyard with beautiful plants and flowers. Speaking of charming courtyards, there is an open-air courtyard hidden away in the Boston Public Library that is a lovely place to read, share a sandwich, or take a break from exploring the city.
Club Passim - there are many places to see live music in and around Boston (some of your classmates play at many of them). Club Passim is a folk music club located in Harvard Square, which hosts local and big-name folk singers every night of the week. It also offers yummy flatbread pizza and beer and wine.
The Forest Hills Cemetery - Jamaica Plain has many green spaces to explore; my favorite is this "garden cemetery." Interesting headstones (look for e.e. cummings) are interspersed among trees, plants, and lakes. The cemetery is especially beautiful in autumn.
The South End - if are in need of delicious food, look no further than the South End. I have eaten at dozens of restaurants there and have never had a bad experience. There is also a fun market on Sundays with crafts, food-trucks, and a farmer's market (though this doesn't last all year). SOWA (south of washington/south end) also has a first Friday night where art studios open there doors and often have food or drinks available.
That's all for now. I have loads of other recommendations - stay tuned!