Despite the obvious risks cycling is big in Qatar. There are a number of groups that operate both on the road and off-road. Both serious and casual.
Cycling is a great way to stay fit and a fun activity to keep you active outside of the gym. At Fitness Qatar we have a lot of time for cycling and in particular Qatar Chain Reaction http://qatarchainreaction.org/
They are a great group and will welcome all abilities to join them so get in touch.