Canvas is a kind of heavy, plain woven fabric, usually made from cotton or linen. It is used to make sails, tents and other items that need to be made from strong fabric.
Artists like to stretch some canvas over a frame and use it to paint on. A piece of canvas prepared like this is also called a canvas, like the one in the picture.
Gingham is a kind of woven fabric pattern, also called plaid and sometimes called checked, but it is not the same as a checkerboard pattern.