I second what Wovengalaxy says about considering volunteering. It will get you experience, confidence, and references as well as something to talk about at an interview.
I was in your situation a few years ago and it was volunteering that got me kickstarted, it was also great fun and I made some great friends.
I would also recommend applying for temp positions as they often overlook lack of experience, it's often enough to get you your foot on the ladder.