Hello aspirant , you can do LLB after graduation. You need to write a common law admission test (CLAT) if you need a seat under government quota or you can go to any law college but they will conduct there own entrance exam for 3 year LLB. Some career options after LLB at the time of placements are as follow-

• Law firm ( associate)
• MNC ( legal officer)
• Govt Agency
• Judicial Exam
• Bank, Legal department.
• Litigation

Top universities of LLB

• National law school of India University
• Government law college, Mumbai
• Symbiosis law schools Pune and Noida
• School of legal studies, cochin

To know more about this you should go through the below link

https://law.careers360.com/articles/9564-law-entrance-tests

Good luck!!!