A seed usually germinates in 3-7 days and starts to send up the green, sometimes it takes a few months to germinate. From there it will continue to grow and grow, but how long it takes to grow into a mature plant just depends on your zone and when it was planted. Here a daylily can bloom in about 7 months if the seedlings (that are 5-6 weeks old) are planted in the ground (or pots) by Sept. 15th. But some areas it takes 2-3 years to see blooms.
I can't find it at the moment, but on some of Fred's threads he shows the progress of the growth of his seedlings. I'm sure he'll pop in and maybe post a few photos.