Chances are it's a cotton/poly blend. If it's been washed many times and held up well, it's likely either cotton or cotton/poly blend. BUT, it doesn't look wrinkled, which indicates it's not 100% cotton. It appears to be tied, not quilted. It would not be that hard to make, if you sew at all.
This is a video of Donna Jordan making a tied quilt. She's using a pieced top and a solid backing, but your quilt has both sides that are solid. Yours has what's called "prairie points" around the edge. I'm not sure I would tackle the prairie points as a beginner, but
here's a video of her making prairie points. These are larger and on a table runner, but show you how it's done.
Good luck.
bkay