Way back a long time ago I graduated from university with an engineering degree unrelated to programming. By that point, however, I had decided that I wanted to be a software developer. This was the mid '90s, and I took a job with an un-funded startup for equity and no pay. From there I worked at a friend's company doing Perl, again for no pay but I crashed with my friend and he paid for my food. So in that sense it's not that different from your situation.
Things are different now, as there are plenty of sites where employers offer contracts for unreasonably low wages. You could start bidding on those, and take some smaller projects and complete them. There's also the option to put your time into some sort of labour of your own love. Write some sotware that demos well, and bootstrap yourself up from there. A lot of companies would be happy to hire an enthusiastic junior Java developer with demonstrated experience that they had the drive to accomplish themselves.
Just do everything you can to pick up as much experience as you can. Keep a positive attitude, and work on all the "soft skills" like listening to your boss and coworkers, doing what you say you're going to do, communicating effectively, etc. With a year or so of this, you should find yourself very employable, assuming there are jobs where you're looking.