There are many advantages to joining a student club. Naturally, you'll develop friendships with other students who share your interests. And, you'll get to meet instructors in a less formal setting. Besides that, you can visit individuals who have already graduated and are now working professionally. Needless to say, any contacts you make can be of benefit.
In addition, you'll find that awards and scholarships are often based on your participation in activities outside the classroom. And, finally, you'll find that having been a college club member will serve you well as you make application for professional and graduate schools, as well as your eventual employment.
Clubs which may be of interest to you include: