Go ride your bike and smile. If you have free time it's one of the best guilt free things you can do. You already own the bike, no cost. The bike operates on human power, no cost. It's wonderful entertainment, no cost. You can explore your own hometown, no cost. You can meet new people, no cost. You can go look for work (if you so desire) no cost.
So you see, riding your bike is absolutely the perfect thing to do for someone with no job who is trying to save money. It's good and good for you.