Deaar Dharma, yes you can pursue LLB after Graduation. LLB is available in 2 formats now catering for 2 different set of audience. One is 5 year integrated LLB Course for candidates who have completed their 10+2 and second is 3 year LLB Course for Graduates. The various Law Entrance Exams for 3 year LLB Courses are: Univeristy of Delhi,  LLB Entrance Test, BHU UET, LSAT-India, Panjab University, AP LAWCET, CEE Kerala, Kurukshetra University, etc.