One neat thing to do that has not been mentioned, check out a nearby park early in the morning. Groups of people are out practicing Tai Chi, and other martial arts, its fascinating to watch.
This pic is the courtyard of the apartment I rented in Chaoyang, Beijing.
Also in the evening n man parks the have dancing, all styles, and people off the street join in..
Menus can be a constant source of chuckles..
This is the Badaling section of the Great Wall (closest to Beijing)on a nasty rainy day..
This is the Muntianyu section of the wall (a day trip fromBeijing) on a beautiful sunny day....note the lack of crowds...