Hi and welcome, I've just begun as well, though am pretty much sewing for the first time too. My first project, a simple nine patch, is really simple yet has helped me grasp some of the basic concepts of rotary cutting, blocking, and actual quilting. I figured just build on the basics from there, though I suppose even easier would be a four patch.
I hope you enjoy yourself as much as I have. “The Free Online Resources Directory” the Quilting Paradise Newsletter folks sent around is a great way to start familiarizing yourself with terms and procedures and well worth the time invested. I just wish I’d have stumbled upon it sooner since I ended up reading from books, digging online, and pestering the daylights out of the quilters I know when I started. Have fun and good luck!