I also arrived Doha 10 days ago, as i finish my work real early i scanned doha 3 times. that is what i found

At night
Hotels have the best places to go. pubs, night clubs and cozy cafe's

Sports and activities
Sheraton and inter cont are offering nice yachting facilities. and you can enjoy a day trip fishing and surfing

Shopping
Old market at doha city centre. and for conditioned markets City centre bear the four season hotel.

My advice, you have to buy DVD and alota movies, u will need it

"Never doubt that a small group of committed ppl can change the world" Not my words :)