Yep, talking about the turn structure would help. Also, explain that you don't control units. Explain that they move and fight on their own, and your actions of building buildings and managing resources determines what units get built. Explain to the player how to read the tooltips on the buildings and units. There is so much important stuff here, and the tutorial completely ignores it.
The way I see tutorials is that they should hold your hand most of the way through, and let you continue the game as best you can after learning everything. This is a decent tutorial, but it gives you way too much freedom with little explanation too quickly, in my humble opinion.