Cat eats wheat

Is it good for my cat to eat wheat, but when it still grass?

I believe it is okay for your cat to eat wheat when it is in the green stage. But monitor her, she shouldn't eat too much grass, it's more of a treat. Note that some cats throw up grass. Indeed some cats will deliberately eat grass to induce vomiting.
Also make sure the grass/wheat hasn't been treated with chemicals, like insecticides.

Wheat grass is fine for a cat to eat So is barely grass, rye grass, and oat grass. These are all common types of grass grown as " cat grass".