Yep, looks fine to me. You finish with a knit st, so when you turn, it’s a purl st facing you, so you knit it. You won’t be doing row 2 twice, you will be repeating it until you’re done doing that particular st. Row 2 instructions are just telling you what Ingrid did: knit the purls and purl the knits (as they appear when you work them, not as they were in the previous row!), so that is why you will repeat it, since it doesn’t change.
Oh, and don’t forget that they want 3 garter sts at each edge.