<<What I was trying to get at was how the issuing of clearances work - you clear somebody to land on one runway; will somebody be cleared to land on the other runway at the same time?>>
OK, where I worked I'm thinking in this case of two runways which did not cross, although the extended centrelines did and the ends of the runways were very close. Yes, we would clear aircraft to land on both runways simultaneously. One controller would be dealing with one landing runway and another controller would be dealing with the landings on the other runway plus crossing departures on a third runway.