Sorry, a Cinematographer is not automatically a Director of Photography, which is a role/title assigned to a senior Cinematographer, who has worked under a DoP for awhile. Film students do learn a variety of photographic skills, many have still photography experience (used to be a pre-requisite back in the film days). You can get a degree or certificate in Cinematography, but that does not make you automatically a Director of Photography. Getting to that stage, depends on your experience, talent and drive.
Cheers