Hi,
You'll have to look for private parties and outdoor picnic or festival type events. Maybe you have a local fair in your area? I played school dances, church picnics, talent shows, civic events, birthday parties, etc, when I was in high school. Only about half of the gigs were paid back then. A lot of communities have a summer concert series but you have to sign up really early for those, usually in January. Just beat the bushes, maybe make up a few flyers and business cards to pass around to perspective clients.
Once you are ready, perhaps you can find your own place to put on your own free show just to introduce your band to the area. Invite all your friends, their friends, local businesses, perspective clients, etc, to showcase your band. Then hand our promotional and contact materials to let them know you are available for their functions, events, parties, etc.
Best of luck to you.
Thank you for your indulgence,
BassCliff