It won't come back at all with that method, but you will have lost your best soil. Grass seeds will be present however and they will germinate you will always need to keep on top of them.
If you are in Northern Europe(or similar climate) then get some
cardboard and put that down now, cover it in mulch to keep it from blowing away, the grass will die over winter and by around April you can plant what you want. If you have black plastic you could use that instead, since you will be removing the plastic before planting I would leave it until May if you get it down now.