Hello!
To get into Vetenary colleges, you have to firstly get a rank in NEET and qualify the examination, which makes you eligible for the AIPVT exam which allows you to compete for seats from 41 vetenary colleges all over the country. Here's an article that could help you out more. You have to qualify NEET, and the cut off for AIPVT changes yearly.

Https://medicine.careers360.com/articles/aipvt 

Good luck!