I like to take company to Mt. Auburn Cemetery. I know it sounds a little bit odd, but it is absolutely beautiful. Not only is it American's First Garden Cemetery, but it is also a National Historic Landmark. There is also a tower that when climbed offers panoramic views of the city and surrounding area. If you go, be sure to stop in the visitor center to pick up a cemetery map that includes the location of graves/memorials of noted persons like Winslow Homer and Buckminster Fuller, and/or pick up a map of the all the "big trees" of Mt. Auburn.
If you want to find out more, check out their website: http://www.mountauburn.org/
Sightseeing
If you want to find out more, check out their website: http://www.mountauburn.org/