Jamilah, do you know about the knitting (and crochet) community called Ravelry? If you don’t you ought to check it out. You have to join to use it, but it is free and has a lot of neat features. A lot of people belong and you can look at each others things. A lot of people have made wristlets, fingerless mittens and that sort of thing. You can search through the patterns section for things others have made and look for things that look simple. There are a lot of free patterns there too and more that you can find that you have to purchase online.
It is not hard at all to knit in the round and you can tackle something that would go over the arms either in the round (my choice) or flat and seam them. As soon as you know how to knit and purl and can do ribbing, change from knit to purl in the same row, you could make something like that. Of course, how to cast on and bind off as well.
I taught my husband to knit and the first thing he made (only thing really, but he made a lot of them) was a hat in the round. There are several techniques for knitting small things in the round. You can see videos about all of them in the “Advanced Techniques” section. They are not really advanced although some people seem to fear them. See double pointed needles, two circulars and Magic Loop.