I'm afraid I don't. I have looked for some time about details concerning the aircraft's internal systems but there is even less information on this than the Project Ibex aircraft!
IMHO, we can safely assume it wouldn't necessarily be as sophisticated as say, the E-4B Airborne Command Post used by the USAF to this day (which has a prominent satellite antenna system, which gives the E-4B its distinctive "hump" on its spine), which are even protected against EMP-type attacks!
But, if I had to wager a guess, it may be safe to describe the Iranian 747 ACP as being an export counterpart to the original E-4 (which entered service in 1974). The key difference being: They are based on two slightly different 747 sub-variants.
So, what would such an aircraft have onboard?
-Numerous communication antennas and receivers to allow communication with nearby aircraft and ground-stations/locations (likely with some level of encryption)
-Brief Rooms for high-level staff to brief commanders on events during a time of war (or during an exercise)
-Facilities to maintain a "crew" of several dozen, including places to eat and sleep for long duration flights.
The main "new" feature modern ACPs have is SATCOM and more modern electronic systems onboard, but the basic concept hasn't changed at all. More or less, this is an aircraft that is designed to direct major military and even civilian events (wars, natural disasters, etc) that can be more survivable and act as a "back-up" for ground-based facilities.
"I never did give anybody hell. I just told the truth, and they thought it was hell."
- Harry Truman