There are lots of new grads or recent career changers who need to deal with this problem. Here is one way to rectify the situation: Work as an unpaid intern
"Though not as altruistic as volunteering, an unpaid internship may be a position within the company for which you want to work. Working for that company can give you a preview of the workplace experience in the environment. An internship can also give your prospective employer a chance to see your work on a trial basis." -What to Do When You're Not Experienced
You have nothing to lose!