Purple Up is a supplement that supplies the necessary ingredients for coralline algae to calcify. It is not a magical fertilizer, and there's not really a definitive amount of time it should take until you see coralline algae on your rocks. When using it, you should be testing calcium and alkalinity to ensure you don't overdose it, since saltwater has a finite capacity for these dissolved compounds.
Essentially, if you provide the right amount of light, calcium, carbonate, and magnesium while keeping phosphates low, any coralline algae cells on your live rock should start to multiply and you'll have it begin to bloom on your rocks. Good luck!