In Half-Life 2, we do hear the Vortigaunts referring to Gordon as "The Free Man" which kind of makes sense under the oppressive regime of the Combine and that he has become the symbol of the resistance. (Fighting for freedom).
But I'm assuming the creators of the game didn't plan this while they were making the first Half-Life - and yes while Gordon does apparently free the Vortigaunts at the end of it, it's not really what the game is about.
So was it just a happy coincidence that his name was "Freeman" and the "Free" part of the plot would become relevant in the second game or does it have another meaning?