There's an ancient observatory in the center of town. Sort of a small park-like place. Visit there. Pretty cool. Ancient Chinese astronomical devices and such. Fairly nice view from up on the roof.

Also visit a hutong or two. Those are the old neighborhoods with lots of character. Many have been demolished as Beijing modernized, but they've kept some.

Don't buy art from "college girls". It's not their art. They are merely selling it for a business. They will claim they are artists and paying their way through college by selling their art.

Visit a karaoke bar for a "quickie". ;)

Visit the Forbidden City and Tiananmen Square.