I can't find specific listed support for this model through asusctl, but it definitely supports similar models. There is a very good chance everything with asusctl will work out of the box, and if not, open a ticket and they'll help figure out what would need to be changed to add support. asusctl supports stuff like fan curve control, aura sync (RGB stuff), throttling profiles, and GPU mode (hybrid/integrated/dedicated) switching, all in Linux. There is a GUI frontend for it that comes with it called rog-control-center if you don't wanna use command line, but it will have fewer features exposed.

You can find info about it at their GitHub:

https://github.com/flukejones/asusctl

UPDATE: Looks like in the compatibility list, the last letter can sometimes be omitted, so it does look like your model (G513QY) is in fact supported, as G513Q is listed in the supported devices list. That should mean most main functions work.

(Sent this update as an extra comment in case your instance doesn't sync my edit by the time you see this comment)