Welcome from Ontario, Canada. You might be interested in hand stitching hexagons together. The hexagons are made into flowers for a Grandmothers Flower Garden pattern or can be hand stitched to a plain background fabric square. A simple Nine Patch block can be hand stitched from squares of cotton fabric and would be good for a beginner.
To get familiar with quilting, check out the youtube videos by Jenny Doan for the Missouri Star Quilt Co.