AFAIK there is no easy to use API (e.g. like System.get("")) to readout the stored name. You could read the DCT area where this info is stored tho’
But you could flip the logic round and set your own SSID - then you do know what to display 
System.set(SYSTEM_CONFIG_SOFTAP_PREFIX, "Prefix");
System.set(SYSTEM_CONFIG_SOFTAP_SUFFIX, "Suffix");
But then you need to know that CLI and Particle mobile apps won’t find your device via “Photon-xxxx” anymore.