CLAT

No, clearing CLAT will only make you eligible for admission to national law universities. You will need to fulfill all the eligibility requirements of NLU you want to take admission in.
Many Private Universities take their own entrance exams for admission in law.
You may directly apply to these Universities and sit for the entrance exams.
Some of the best Universities in India are-
IILM University, Gurugram
O.P Jindal University, Sonipat
Guru Gobind Singh Indraprastha University, Delhi
Lovely Professional University, Punjab
University of Mumbai, Mumbai
Symbiosis Law School, Pune
Chandigarh University, Chandigarh
National Law University, Orissa
Indore Institute of Law, Indore

Hi,
Actually, This is a good question, and Hope you are doing well, by the way, I would like to suggest Symbiosis Law School, Pune fee structure. Actually, Symbiosis Law School Pune is a good Law college. And your choice is also good BBA LL.B. Law is a very good career course and is one of the oldest disciplines of law study. The LL.B. Degree is a three-year duration course and students can pursue after their graduation degree. Symbiosis Law School, Pune is recognized as one of the leading law schools in India. Established in the year 1977, The Institute has several undergraduates, postgraduate, Certificate, and Diploma courses designed to produce legal professionals of the future. I would like to suggest Symbiosis Law School, Pune fee structure:
The course duration for BBA LL.B. Is 5 years. The eligibility criteria for that course is for students to acquire a minimum of 45% marks and above in their 10th grade and PUC or equivalent. Symbiosis Law School, Pune BBA LL.B. Fee structure is 3.20 Lacs per annum. Symbiosis Law School, Pune hostel fee is around Rs. 1.25 Lacs - Rs. 1.38 Lacs and it is the same for girls as well as boys.

CAT is a test directed by Iims for admission to the 20 Iims and a few CAT partnered organizations. While CET is a test directed by individual state proficient examination sheets or universities, for example, CET of Maharashtra or CET led by DAVV Indore. Dimension of difficulty: CAT is the harder of the two tests. Most of colleges follow different admission procedure and accept scores of CLAT (Common Law Admission Test) or other law entrance exams for admissions. Many of these colleges have their own entrance exam pathway too. There are multiple universities in India from where you can do 5-year LL.B. Like IILM University Gurugram offers BBA LL.B. & B.A. LL.B. & LL. M. with Moot Court Internship, Seminar, Workshops, Experiential Learning along with Inter-Disciplinary Curriculum. For more details visit their website: https://iilm.edu.in/law-admissions.