Catholic teaching states that Jesus is one Person, and that a divine Person, "one of the Holy Trinity".  Thus Jesus is "not a human person."  When we say that Jesus is not a human person, we are using the word "person" in a precise sense, important to the faith.  In some senses it might be true to call Him a human person.  This person, Jesus, is human.  Certainly He is a perfect man, possessed of striking traits, most capable of being loved and cared about.  But when we say He is not a human person, we are using the word "person" in its technical meaning of "distinct intelligent being." Jesus is not a being who is distinct from the Person who is the Son of God.

The point here is this: Jesus is not divided.  There is no human person "Jesus" who would be other than the Person who is the eternal Son of God.  In fact, this is the joyful good news of Christianity: that this Man Jesus, the One who could be seen, He who walked this earth, He is my God, he knows me, and He has always known me.  In fact, devotion to the humanity of Jesus grows with full strength and force from an understanding that this Man Jesus is my Lord, and not a different person, somehow related to the Lord.

Devotion to the Sacred Heart of Jesus grows out of this sound faith.  For He who is truly our Brother, because He is Himself our Lord, has loved us with an undivided love.  The eternal love with which He has loved and understood us as our God is inseparably united to the ardent charity and tender human love He has had for us in his humanity.  To this man Jesus we are personally known and related, because He is no mere human person, but a true man who is the Son of God.

It is because this man Jesus is not a separate created person that He is rightly adored as God.  The apostle Thomas saw the risen Jesus and greeted Him in adoration: "My Lord and my God!" (John 20-28).  In the same way Catholic devotion worships the one Jesus in the Eucharist.  With a single adoration and faith and love.  Christian devotion salutes the one, undivided Lord Jesus.  We ought to "adore with one adoration the incarnate Word of God together with His Flesh, according to the tradition in the church of God from the beginning."

Source: The teaching of Christ, Catholic Catechism for adults.