Honestly not surprised. You're running that on a, what, 15 year old potato? Yes, Skyrim isn't the most modern game, but that GPU was intended for desktop use, back then. I'm actually impressed that it runs at all. I'd half expect the game to just crash because it requests something that dinky GPU simply cannot provide.
Yeah, that's what I thought, but as I said in the post I googled it and other people said it could run, I do not have anything else I can play this game on.
If you really want to make Skyrim playable on an HD Graphics card, you might have to go lower than even the low settings (like by editing config files, for example).
Many people have made recommendations on what to change in videos and posts, you should look them up. IIRC there was even a mod for low-spec Skyrim.
This is really a hardware limitation. If you are in a desktop you should add a graphics to it. But if it is a laptop unfortunately there is nothing you can do.