Graduate in any stream can take admission in 3 year llb course.in india there are several entrance exam conducted for law admission Like blat  clat aibe Ailet Set etc.you can check the list in link

https://law.careers360.com/exams

Mostly law entrance exam already conducted this year and they started counselling.you can take these exam next year but if you want to take admission year then there is several private colleges which also offers llb degree you can take admission there but fees is high as compared to government law colleges.

List for private college available below

https://law.careers360.com/colleges/list-of-private-law-colleges-in-india