Aspects of the divine begetting

What did the one God, the Father of all, pass unto His only begotten?

For as the Father hath life in himself; so hath he given to the Son to have life in himself. John 5: 26
The brightness of [his] glory, and the express image of his person; Hebrews 1: 3.

What does it mean that God passed His glory to His only begotten son?

And he said, I beseech thee, show me thy glory. And he said, I will make all my goodness pass. Exodus 33: 18, 19

It pleased the Father that in him should all fullness dwell. Colossians 1:19.

Did the one God pass on His name to His only begotten son?

For unto which of the angels said he [God] at any time, Thou art my Son, this day have I begotten thee? And again, I will be to him a Father, and he shall be to me a Son? But unto the Son [he saith], Thy throne, O God, [is] for ever and ever. Hebrews 1: 5, 8

What else was passed by the Father unto His only begotten?

But ye are not in the flesh, but in the Spirit, if so be that the Spirit of God dwell in you. Now if any man have not the Spirit of Christ, he is none of his. Romans 8: 9.

Conclusion: God passed unto His only begotten son, unconditional life in Himself. As the baby becomes independent of the mother once he is born, Christ became self-existent once He was begotten of the Father. Self-existence was inherent in His birth. In addition to self existence, the son received from His Father His very character [goodness], and thus His express image. There was nothing that the Father had which was not passed unto the His only begotten Son. Even the very Spirit of God, the Holy Spirit, is shared by His Son. Christ naturally inherited the name of His Father [God]. Christ was not, however, co-existent with His Father, being the Son.