Origins of the Papacy

Today's assigned Gospel reading (John 21:1-19) includes another appearance of Jesus to some of His apostles after His resurrection and it includes a special conversation with Peter. It this dialogue, Jesus is telling Peter to take care of His sheep; He is entrusting Peter (and his successors) with the responsibility of caring for His flock.

For a good commentary on Jesus appointing Peter to the position that we now call the Pope, read this essay:
     Dr. Marcellino D'Ambrosio: The Origins of the Papacy