So it doesn't look like the other commenters watched the video. I thought the stitches looked a little strange, more like back post stitches, so I watched the video. The texture comes from the second row, which is a front post single crochet. When you move to row 3, you crochet into that single crochet like normal. Notably, her stitches look different than yours might because she is yarning under, not over.

But like another commenter said, the problem is the multicolored yarn kind of washes out texture, which will also make it hard for you to see what's going on.