I don’t think there is an official CAF prayer. I do know Father Z wrote a prayer to be said before logging on to the internet. Regardless of what you think of the reverend Father, the prayer is very nice.
Almighty and eternal God, who created us in Thine image and bade us to seek after all that is good, true and beautiful, especially in the divine person of Thine Only-begotten Son, our Lord Jesus Christ, grant, we beseech Thee, that, through the intercession of Saint Isidore, Bishop and Doctor, during our journeys through the internet we will direct our hands and eyes only to that which is pleasing to Thee and treat with charity and patience all those souls whom we encounter. Through Christ our Lord. Amen.