hey,

there are many graduates who are being recurited for government job profiles in central as well as state health departments , to get recurited for job opportunities in central government you need to appear fro CMS (combined medical services) which is conducted by UPSC , doctors are recruited to a number of central government institutions like railways, municipal corporations, government hospitals and dispensaries, there are also several state health service exams offering job opportunities to medicos within respective states

hope this helps!