1st part: That refers to ground units operating in space. In those situations, the ground units also operate in the 60-second turn scale.
2nd part: When playing such games, you play one space map turn and ground map turn simultaneously. This is followed by five ground map turns. Only then do you play the next space and ground turn, and so forth. Units on the space map (including ground units) only move, shoot, or perform any other actions during the space turn.