What happens if I runaway from home (orlando FL)and go to Atl georgia with my boyfriend?? we r both underage?

I have been thinking about going to live with him because he said i could stay with him at his house. my parents dont want me PERIOD there aint nothing i can do , because if i dont runaway they r sending me to my grandmamas house in washington state. i dont want to. But if i go will there be any problems with the law??