I would tell you not to come. Help for the disabled/special needs child is in it's infancy here. The stigma is just beginning to leave as they are becoming more aware and up-to-date, but it leaves a lot of be desired, especially if you are used to programs in the west.

The Shafallah center opened in 2006 and is a center for special needs/handicapped children that is run by the Qatari government. Almost 100% of the children there are Qatari. I would check out their website, but be warned the chances of them letting you in are very small.

TLC (The learning center) is attached to Qatar Academy, part of Qatar foundation. It is a school for children with mild learning disabilities.