Is Jesus the same person as the Father?

No, Jesus is not the same person as the Father.  In the doctrine of the Trinity there are three persons in the Godhead:  Father, Son, and Holy Spirit.  We use the term "person" to describe each of the three because each displays attributes of personhood.  Each has a will, speaks, loves, is self aware, and is aware of others.  Yet, the Bible teaches that there is only one God (Isaiah 43:10; 44:6,8; 45:5,14,18,21,22).  Therefore, the person of the Son is not the same person as the Father.  They speak to each other and have their own wills.

• Matt. 3:17, "and behold, a voice out of the heavens, saying, 'This is My beloved Son, in whom I am well-pleased."
• Luke 22:42, "Father, if Thou art willing, remove this cup from Me; yet not My will, but Thine be done."

There are, however, Oneness Pentecostal groups who claim that there is only one person in the Godhead:  Jesus.  They erringly state that the Father, the Son, and the Holy Spirit are all the same person, only different in manifestation.  This is an error.

The correct doctrine is that there is only one God who is three persons:  The Father, the Son, and the Holy Spirit.  Each is not the same person as the other.  Yet, there are not three gods, only one.