dbright

Rail fence is an easy quilt to start with.

dunster

Yellow Brick Road is another easy one. I started with it.

JustAbitCrazy

Another good place to start is with an Eleanor Burns Quilt in a Day Log Cabin. The instructions are extremely detailed, and it's a simple but beautiful quilt. Also check out some of the quilts on the Buggy Barn website. I am familiar with three of them which are very simple and forgiving--it doesn't even matter if your seam allowances are consistent. It only matters that you sew straight. The blocks come out oversized and then are squared up all to the same size before they are sewn together. I think most, if not all, their patterns are forgiving in this way---it has to do with how they are cut out and constructed. The three which I know are so easy (and very pretty!) are: Star Crazies, Triple Star Crazies, and Ctazy About Hearts and Stars.
Welcome to the wonderful world of quilting!

LynneM

Thanks for all the great advice everyone! I'm a little intimidated by the whole quilting process, but I think I just have to jump in and start doing it.