You can upholster funiture with burlap as well. This chair would be so cute if you stenciled the initial of your last name right in the center of the back. OOOOOH so Chic!
The one thing you do need to remember about burlap is that it is a natural fiber. Before you make a commitment to anything, I would recommend you going to your local fabric store and buying a yard of it and making sure you don't mind the texture of it.