Hey..
There is no UG LAW courses available in St.Joseph's College, Banglore. You can here apply for B.A course such as English, Journalism, Psychology
History, Economics, Political Science, Economics, Political Science, Sociology, Industrial relations, Economics, Sociology, Communicative English, Political Science, Economics.

Or you can apply for other B.Com/BSc courses
If you want to go for Law best university and colleges are below you can ask for details.
1.National LAW School of India University (NLSIU) [Karnataka,Banglore]
2.CMR University [Karnataka, Banglore]
3. Banglore Institute of Legal Studies (BILS) [Karnataka, Banglore]
4. KLE Societys Law College [Karnataka, Banglore]
5. Lovely Professional University
6. Panjab University
7. Chandigarh University (CU)

Hi 

Though this college offers bsc, MSC,  undergraduate as well as postgraduate programs but unfortunately it does not offer any course on law. 

But there are subjects like journalism,  economics , political science,  social work,  English etc.  You can refer to their website for further details and subjects.