Sounds good. College Advisor would give you a written career plan. If possible discuss your education plan with your parents.
I strongly advise AGAINST discussing your educational plans with other family and friends.
I'm a Sophomore in college. My major is Computer Science. I don't have any experience working in the field. My plan is to get an internship during my senior year. Then get a full time job after completing my undergrad. Does this plan sound viable? Or do I need to be more active in making connections and gaining experience?
You sound like a very confident person. It all depends on how will you graduate and what knowledge base you will have. Not sure about connections but if you have no knowledge, connections will not help you.