This is kind of a ‘duh’ thing to notice, but it still struck me when I read it. Alan Segal points out that:
Paul is not converted by Jesus’ teachings, but rather by an experience, a revelation of Christ, which radically reorients his life.
Certainly Paul must have been familiar with the teachings of Jesus due to his persecution of the early Church, but we see no evidence for him pondering those teachings or the life of Jesus. Rather, it takes a breakthrough by God to open the eyes of the Apostle.