The state of Connecticut has a website where they post employment opportunities. The site lists jobs with requirements and test dates: http://www. das. state. ct. us/exam/
Visit your local town hall and submit an application, even if they are not hiring. Do the same if you live near State Offices. There are many job opportunities for everything from janitorial to accounting services.
Look on the main government jobs website for your area (www. usajobs. opm. gov), check contractors supporting the government, and look for temporary jobs just to get started.