Congratulations on your first fabulous looking sock! It's perfect!!!
Rest assured that you are definitely "knitting" all right. You just might be doing a twisted stitch or even a different method from what most people do. But it's all knitting, and there's no "wrong way" to do it. The question is, are you happy with the end result?
Of course, you can always learn to knit a different way and even play around with different methods (combining them or just sticking with a new method altogether) to see if you like the end result. But it's all knitting.
If you're curious about what method you're using, you can find tons of videos online showing different knitting methods, and there are several threads and tutorials on KH about different methods, too.
At any rate, you've done a super job on your first sock. Thanks for showing us your accomplishment!!