First off, congrats on attempting your first quilt!
Secondly, you can certainly sew the quilt right sides together and flip, however this becomes more challenging as the quilt size increases. You have a harder time lining up the top and bottom with no shifting as you sew.
Thirdly, the "sewing a pattern on the top" is called... Quilting! That is the "quilting" that quilting refers to! You would do that TO sew the top, batting, and backing together BEFORE binding, or you could do it to the top, batting and maybe a thin layer before then sewing it to the back and flipping it. I don't think you would want to do the flipping method and then try to quilt the piece.
Another option that is done often for these "flipped" quilts is to simple tie quilt it. This is when you take ribbon, yarn, thread, etc, and at corners of your design (or similar locations) you go through all layers and back up and tie a simple knot. Do this all over your quilt to hold the layers from shifting!
Lastly, binding is not super challenging! Look up some good tutorials on the web if you want good pictures and directions, and just go for it! If you have a favorite quilt shop or fabric store near you there is probably someone that can walk you through the process easily.
Good Luck!
