Dr. Ray’s Answer
Unfortunately there are very few jobs for people with bachelor's degrees in psychology or counseling. I agree with Daniela that you would need to attend a master's degree program in social work, counseling, marriage and family therapy or a similar field to achieve your goal. These are usually two year programs, but another one to two years of supervised experience is almost always required for licensing. Although my degree is in psychology I should warn you that most states do not allow people with a master's degree in psychology to practice independently. Unless you decide to pursue a Ph.D. I would choose another field.
To answer your question about graduate school, most graduate programs offer specialized training in a particular field, such as counseling, which will enable people to work in that field when they graduate. In the sciences graduate programs are generally for those who want to do research in that field. Overall these programs are much more narrow and career focused than undergraduate degree programs.
I do not know if graduate programs currently offer financial support to their students. It used to be the rule, especially in the sciences, but in the 1980s the federal government began cutting back on its support for higher education and financial aid became much harder to get. The government's current philosophy seems to be that students should pay for a large portion of their college education. However f you major in a science or health care field you may very well be able to get an assistant-ship, in which you do work for the department in exchange for tuition and a small living allowance. The best way to find out would be to look at the financial aid portions of university web sites, and talk to your current professors.
I hope these answers at least get you started on your search. I wish you the best of luck.
Ray Finn, Ph.D Psychologist