Hi--I have found that my pole beans here need to grow up quite a bit before they bloom. I have 7' tall mushroom beans that are just now setting blossoms all over the place, and runner beans that are budding. The only variety I have that blooms/fruits almost as soon as it starts climbing is Emerite.

That might be because of my climate and the varieties I have chosen. Not sure about your zone and how old the plants are, and have never grown Italian green beans, so maybe someone from your zone and/or soeone familiar with your cultivar would be more help.