I'll reply as though it is her real hair, though of course I don't know if it is or not.
This looks like hair that has been airdried with no product added. That is why it is so full and has little shine. The color adds to the lack of shine though. If your hair is dark, it should have more shine than this even without product added. You should not have to do anything to your texturized (or naturally curly) hair to it to get this look, other than scrunch it gently with your fingers immediately after washing/conditioning and making sure not to comb or brush it as it is drying, or after it is dry.
If you add a light gel or a light oil to it at some point as it is drying, it will be very shiny and have a flatter, smoother appearance. But, without anything added, this full, poofy look is what you'd get. You can add a bit of oil, though, and still have very touchable, non-heavy hair.
I prefer to do that when wearing my hair curly/wavy, because I do not like it to be so big.