Hi Barsa!

to be a verterniary doctor prior to that you'll need a basic bachelor degree of medical sceince. prospective the verternians need a bachelor's degree to qualify in  any veterinary college. While there isn't any specific required but a basic idea about chemistry and physics is good. 

Also there are numerous medical colleges if you are looking for both in state and national perspective. 

And apart from NEET there are many medical entrances test which you can apply for and some are often been conducted twice a year. 

Hope this answers your query, all the best

cheers!