Honestly I don't think it will be easy for you as a fresh graduate to find work in Qatar, regardless of your education or nationality. The big Q companies are now forced to take graduates of Qatar University, Texas A&M etc for their fresh graduates. And the smaller companies will be run by local mafias of Indian, Pakistani, Arabic etc.

My advice to you is don't waste your money trying to come here to look for a job in the present economic circumstances. You will have better luck, and a better salary, in the US.