I believe this was discussed when delivered.
IIRC, it’s painted in civil markings as a bit of national PR when used for international relief missions.
I don’t think it’s in commercial use…

Is Qatar airlines 100% national? If it is there may not be much of a difference between military and civil.
Who crews the plane? (air force or airline)
Who mainitains the plane? (probably air force since they have others)

Maybe, but it will not be the first military cargo plane used for non-military flights (even if does carry some military personnel)