Some schools receive verified applications on a real-time basis. Others receive them once a week. It depends on what the individual school requests... or so I've heard.
My AMCAS was verified yesterday, and I got an email from Baylor this morning saying they'd received it. On the other hand, some other schools (Stanford being one of them, I think) download AMCAS applications once a week or so. So yeah, looks like it depends on the school, but it's still pretty fast.