Hi There!
There are some institutions in Doha Like
enertech qatar
www.enertechqatar.com
But i will recommend online self learning from
http://www.simplilearn.com/

I took my training from this website.
and pass my PMP exam in first attempt in November 2015.
Quality of delivering a lecture on this website is much better than locally available instructors in Doha.
And of course online course are cheaper and it also includes online mock exams.