I'd disagree with that a little bit. From what we know of the Borg, there is still some form of individuality - or self-awareness - within the gestalt conciousness. From the internal narrative by The Spawn of Cryptus, a mega-Broodlord I believe, in 'Deathstorm' by Josh Reynolds the individual consiousness is completely subsumed (eventually) by the Hive Mind with no trace of the individual remaining.