Yes, the scape is the stem on which the daylilies bloom. If you go to this link on the AHS website it gives you the definitions to the terminology.
http://www.daylilies.org/ahs_d...
When referring to rebloom it means that the daylily sends up another scape usually after the first one is done blooming, but sometimes while the other is still blooming.
Bud builder definition from AHS
Scientifically called "indeterminate inflorescence," it means "continuing to grow at the apex" or end of the scape. A pattern of growth on scapes in which buds continue to form as lower buds open. A scape showing this characteristic will get taller through the bloom season. It is a somewhat unreliable trait, dependent upon weather and growing conditions. Later bloom tends to be sparce.
Those buds will bloom.