Just heard about this game and played through the current version to my objective at the start of the game. All it says is to 'kill the boss'.
Well, I've killed every enemy on the map, gotten all the loot. I don't see any boss.
Am I doing something wrong, or is this not implemented yet?

I've really been enjoying it, heavy xcom/FTL feeling.

Thanks for the feedback! Yes, definitely a known issue that the boss doesn't spawn. We have it resolved in Build 37 and we are just getting the final details together on that build.