Jodi, I've just started learning to sew too! My first project was a baby's blanket. I got 2 panels and some wadding from Spotlight and just sewed it all together. There's a pic on my FB. I'm going to put a border on it - I think it's called bias tape?!
Blanket ribbon is also good to use as a border. It is ribbon already folded in half lengthwise that you slide over edge of blanket and sew through both sides of ribbon with blanket in middle like a sandwich. The silky feeling is often appealing to kids.