I am buying a monitor for laptop with G Sync already

[ekim725]

I am considering on buying a Asus ROG Zephyrus M with a gaming monitor. I am wondering if I need a monitor with G Sync as well or does it not matter? Also is V Sync recommended?

 

[COLGeek]

MERGED QUESTION
Question from ekim725 : "My laptop already has G-sync does that mean i need to buy a monitor with G sync as well?"

I am considering buying my Asus ROG Zephyrus M with a monitor but I don't know if it should have G Sync or if it is fine without it. Can I buy any monitor or does it need G Sync? (In addition is V Sync good )