Hello, Candidate 

It will be difficult to say that you will definitely get a government college because cut off is different every year depending on difficulty level category home state etc 

However you a have scored 500+ you have a slight chance to get a government college.

I'm providing you a link which can help you

https://medicine.careers360.com/neet-college-predictor

Hope this helps you if you have any queries you can add in comment section

Thank you