If planted early enough, columbines will bloom their first year from seed. Typically, established plants will self-seed freely and produce flowering plants the next season. Since they tend not to be a very long-lived perennial, that's a good thing as they continually produce replacements if you do not deadhead. The plants are quite promiscuous however and will cross pollinate with each other wildly so be prepared to to enjoy offspring that do not necessarily resemble their parents.

Thanks! Mine seem to be about the same height as ones I saw at Home Depot, so I hope that means they will. I am fine with different colors...they all seem pretty! Thanks for the reminder to not deadhead.