They probably should... The flower might be smaller though.

I've ordered quite a few from Northland. Mine flowered, but not very many and not very large. Maybe 4, 5 blooms? I did pinch off the first set of buds, though, so that they would grow strong roots first. We also had a very cold & wet spring last year, so my roses got a much later start than normal last summer.

My experience with small new own root roses is that the smaller rose bushes (ie "minis") will flower fairly well but the larger plant size roses (ie climbers & roses that grow to +5 ft tall)will flower very lightly & sometimes not at all the first year. Remember the saying "the 1st year they 'sleep', the 2nd year they 'creeper' & the 3rd year they 'leap'.

I've had repeat blooming seedlings (not rooted cuttings) bloom within 8 weeks of germination so I'd say yes, they should bloom this year. The blooms will probably be fewer and smaller but unless it is a non-remontant rose it should bloom. My once blooming seedlings can take up to 3 years to give me their first bloom.