The Great Wall has at least two turist places near Beijing. One is much older and there is a recently (10 years or less) opened one, named Simatai. We found Simatai much more interesting because it had not been so extensively restored.
Keep your eyes open on the bus ride to either of these. Beijing and surrounds is a massive metropolitan area that has to be seen to began to appreciate.
There are many very traditional resturants and theaters that we enjoyed greatly, especially try one of the traditional ones that specialize in Peking Duck . You will need to go with a person that speaks Mandarin (the local dialect of Chinese) and the theaters will be a lot more interesting if you do understand some Mandarin, as well as Chinese history/cultur.
Expect some of the worst smog I have ever seen on earth, and it covers nearly all of China!!
Niklas
