That's up to you. It will just take you to the repeater output frequency when it lands on an input. Haven't really tested it much myself but I *think* it only works in the UHF bands where offsets are standardized. I.E. if it stops on 456.5 it would try to go to 451.5 since that would be the repeater output.
But someone please correct me if I'm wrong on that. This is how I understood it to work.
I thought it allowed for you to see the repeater input. But essentially, your explanation satisfies. Repeaters are duplex systems, using two frequencies. The amateurs (Hams) first started using duplex before commercial and public safety people did. They standardized the practice of spacing/offsetting the two frequencies at a set distance and after everyone saw the massive increase in range a properly located repeater afforded, they quickly went to (semi) duplex repeater systems.