If an arrest warrant was issued in ontario for me and I live in quebec what can happen to me? Will they arrest me in quebec?

Possibly yes. See here:
https://www.askmehelpdesk.com/crimin...ns-508416.html

It is possible, often how serious the warrant is, often on smaller charges they will not spend the money to take you back. But they can arrest you.

Yes, they can - whether you get transported "back" depends on how badly they want you.

Why would you not address the warrant and live with it hanging over your head? It could keep you from getting a driver's license, a job and so forth.