Yes, you can do government job.

You can check the options below-

1- Army Dental Corps

2- Territorial officer in Indian Army

3- Joining Indian Navy & Airforce as contractual dental officer

4- You can give UPSC exam to join Indian Civil Service
5- State government jobs as dental surgeons

6- Joining Indian Railway as a dentist

7- You can apply for job in central government institutes like AIIMS.

Good Luck!!