Just checked the Quark driver and to be more specific, the light you are looking at takes two AA cells. If you wanted to use Li-Ion cells (3.7v) you could use one 14500 and a dummy cell. I don't know if a double sized AA cell that produces 3.7v is made or not.
You can use two AA of any other chemistry (akaline, lithium primary, NiMH).
Since this is your first light, you're new and seeking advice, I'll offer an unsolicited opinion. I'd recommend the single cell version. Single cell is much smaller, easier to carry, easier to pocket and therefore much more likely to be with you when you need.
It's more likely to be an EDC (everyday carry) just because it's more convenient to have on / with you.
Some will argue that they love their 2 cells lights (no arguments here), but the sales of single cell lights far exceed those of double cells.
Welcome to CPF.