If you are covered by NFPA 70, LightningBolt1, whether or not the two should be bonded in the apartment depends on how the service is distributed.
If the utility transformer goes to each apartment's individual meter separately without a disconnecting means on the way- and the apartments have fire walls- the neutral and ground are to be bonded in your load center with a main disconnect. (The first disconnecting means)
In other words: No way to disconnect power between utility and your load center's main = Bond In The Apartment
If the utility serves several disconnects in, perhaps, a utility room in the building, then travels to each apartment- the neutral and ground are to be separate in your load center.
In other words: There is a place to disconnect power before it gets to your apartment's load center = Separate Neutral & Ground In The Apartment,
But... Article 230.85 kind of muddied this up as it discusses the relatively new requirement for outside disconnects. In your case, I don't think this applies.
And... You mentioned that it is an older building. It may be old enough that the above rules did not apply when the service was installed. It is typically "grandfathered".
Hope This Helps Clarify,
Paul