Hi,
Its difficult for fresh medical graduates to get a job here. Private sector hosps ask for experience and you need to pass the exam conducted by the NHA. the other option is to get into one of the courses in HMC (Arab Board) for which also you need to pass an exam which is conducted periodically by the weil cornell univ. If you clear the exam , then there is a matching system based on the available vacancies and u can join for a course in that speciality.HMC website has most of the details.
(www.hmc.org.qa)
Best of luck!