I was in Beijing last month, It is a superb place.
Go to
Tin Min Square
Silk Market
Summer Palace
Great Wall Of China (Contact your hotel)
XinJieKou street (This is the best street for branded shopping)
Every hotel there has a guide map on their reception, you can pick that up. Secondly, try using metro system since there are alot of traffic jams on the road.
If you travel by taxi, you need to have the Chinese name of that place since most of the taxi drivers are not aware of English.
Yeah, no facebook/youtube access over there.
Every shopping mall has different floors for differet items starting from shoes to electronic stuff.
Keep asking me questions, I'll answer them or send me a PM