The supplies are as basic as they come: needles (quilting betweens, usually a size 9 or 10 for a beginner), a quilt top, backing and batting, thread, and a thimble. Some quilters baste really well and quilt without a hoop, but I started by using a cheap, $4 quilt hoop that was 16" in diameter.
There are lots of videos on YouTube about hand quilting that will show you the technique. When you are starting out, it's more important to make even stitches than small stitches.
I'm sure you'll find lots of help here if you ask. There are a lot of hand quilters on this board. Good luck!
Janet