Is it a good option to go for hotel management after the completion of LLB?

Both are different from each other, so HM will be of no use for you. However, if you want to start your career in the hotel industry then you can pursue HM. Best of luck.

Both the courses are different. So, if you have keen interest in hospitality industry, then I will suggest to go for it. Otherwise, there is no sense of doing this course.