You could finish it a couple of different ways. There's the "birthing method" where you sew the quilt and backing right sides together, leaving a gap on one side, then turn it right side out and hand-stitch the gap closed. Or there's the traditional binding method, which you can do either entirely by machine, or half-machine/half-hand sew.
You might want to search on YouTube and watch a couple of videos to help you decide which method is best for you. Good luck!