We have rust spots on our hollyhocks and the leaves are drying up. It is has...
Here is an article on hollyhock rust and how to control it. http://www.extension.umn.edu/garden/yard-garden/flowers/hollyhock-rust/
I am not sure if you are asking if the hollyhocks or rust will return next year. Hollyhocks are biennials, which means they live only two years. The first year they get what is called basal growth, but no flowers. The second year they flower, set seeds, and die. With repeated plantings, there should be plants in both the first and second years in your garden, so there would always be plants flowering and re-seeding. If you follow the instructions above and clean all vegetation up in the fall, you should have no more than average risk of it coming back next year. You may need to replant, especially if the rust has killed the plant before it has a chance to produce ripe seeds.