Jobs can be tough to come by here in Italy. Because of the SOFA agreement you are not allowed to work on the economy or have any kind of home business (the only exception is if you live on Villagio you can open your home for Family Child Care). Also because of the SOFA agreement something like 80% of the jobs have to be given to the local nationals. So that doesn't leave many jobs. You can check on www.usajobs.com for some job listings.
There are lot's and lot's of volunteer opportunities available. So if you want to keep busy it's really not hard to do, even if you can't get paid for it. You can volunteer for American Red Cross, the EFMP program, USO and many more. Pretty much all the organizations here will take volunteers.