You’ll only be able to run grbl on the Arduino.
The interface to grbl is documented here:
I don’t have any experience with SLA printers, but grbl has been used to operate at least one SLA printer:
You’ll find the list of G-codes supported by grbl here: https://github.com/gnea/grbl/wiki.
Grbl was originally created for the control of CNC routers and so uses Arduino pins to control things like spindle speed and coolant flow (see pin diagram: https://github.com/grbl/grbl/wiki/Connecting-Grbl). These pins can be re-purposed for other functions (I used them for controlling a peristaltic pump in my project), so you may be able to use them to control your laser.
For further advice on this topic, it would be best to go to one of the CNC forums, e.g.: