I wouldn't purchase anything less than what you have in your Jem? Janome machines are great machines with a good track record. If you purchase the one shown on your posting, it will be a frustration. This machine is cute, but not a machine for serious sewing. It sounds like your GD is wanting to be a serious sewist. Perhaps she thought that asking for a "grown up" machine would be too expensive. A quilt guild member would be more than happy to give your GD lessons on a machine like this one..
https://www.kenssewingcenter.com/jan...g-machine.html ....remember, this is an investment in her life long hobby that she will reap many happy hours of creating. I will gladly send her fabric if you will PM me. Pillowcases are a great start along with the simple tote bag. Buy her a good "grown up" machine.