Ideally you should get into our Pet forum on QL.
http://www.qatarliving.com/node/13145

There you will find Xena and Desert Queen frequently organise trips to the beach with their dogs. Lots of fun for the pooches. If you must bring your dog here, then you can contact one of them for a doggie get together. :)

Visit my website! http://www.qatarpets.org