Gomac according to the Wiki on this thread
"Alcohol is NOT available at Hamad International Airport either inside or outside the airport buildings, even at the Airport hotel. Nor is it available on most flights to muslim countries (even as far as TUN and ALG).
On all other flights from DOH alcohol is available after departure. The cabin crew decide when departure is. For some it is when you board the aircraft, for others closing the doors, others pushback and yet others after take-off. Where alcohol is permitted on the flight then it will be served by the glass, the bottle remaining in the galley. Pre departure alcoholic drinks will normally be served on flights to DOH where alcohol is permitted. There may be exceptions."

Please read the Wiki since it contains almost all the information available about Ramadan and QR. If anything is found to be missing it will be added.