Hi and welcome to Knitting Help.
The video shows the knitted cast on. There are others you might want to try, check the free videos button at the top and you'll find several to check out, try, and choose from. The long tail cast on is pretty popular and you might like the results from it better.
What yarn did you use? If it's wool, blocking might help; if it's acrylic, washing and drying might make it look better. Another option would be to crochet a border or to pick up and knit (I believe there is a video here for that too) and add to the end.
It looks like you used stockinette stitch, alternating rows of knits and purls, which will curl. For your next scarf you might want to add a border of garter stitch (knit every row) or seed stitch (k 1, pl then on the other side p1, k1) for about 5 or 6 stitches or you could work the whole thing in garter stitch. With practice, everything improves. It looks like you are doing well keeping even tension, that's great.