The big difference between a mig welder and a flux core only welder is the control hardware for the gas solenoid. The mig machine will have it and the flux only machine will not.
There might be a difference between the guns, but that is mostly the gas nozzle in the gun. You need it for GMAW but not for FCAW.
Upgrading from a FCAW only welder to GMAW will require buying a new welder. Modifying a FCAW only welder wouldn't be worth the effort.
If money is the issue, it was for me when I got my first welder, check out the welders offered on Amazon. Some of those are surprisingly good quality.