How does Christ execute the office of a priest?

Christ executes the office of a priest, in his once offering up of himself a sacrifice to satisfy divine justice, and reconcile us to God; and in making continual intercession for us.

Jesus is our Great High Priest, who performs the sacrifice on our behalf. More than that, He is the perfect sacrifice! And even after the cross, Jesus sits at the right hand of the Father to make continual intercession for us.