It isn’t necessarily a matter of “what God does”, per se, so much as it is a matter of “what God
is”.
Strains brain to think of good answer
Humanity was born to be in communion with God. However through the act of disobedience our parents Adam and Eve made, humanity alienated itself from God. Due to Original Sin, humanity is born without sanctifying grace.
Christ came and was Incarnate of the Virgin Mary and became man. He united humanity to divinity by His own Hypostatic Union. By doing so and by living perfectly, suffering, dying, rising from the dead, and ascending into Heaven, Jesus has freed human nature and exalted it. To those who are incorporated into His Mystical Body- the Church- Grace is given to those persons. This Grace- which is the very life of God and His power- sanctifies us and unites furthermore to Jesus. These normal Means of Grace are the Sacraments; and of these Sacraments, paramount is the Eucharist.
Having been united to Christ and sanctified by the Means of Grace, we are conformed (by the power of the Holy Spirit) to the image and likeness of Jesus. We grow in holiness and in Love. Our communion with God is restored, and our true destiny as humans may be fulfilled- namely, to live in that Communion of Love with God, giving glory to the Father through His Son Jesus Christ, in the power of the Holy Spirit.
I do hope that made sense. If it doesn’t, I blame it on the first week of college
And to answer your second question:
Alexander Roman is a frequent poster on the Eastern Catholicism board, and a very important member. His knowledge of Eastern Catholicism is vast, and he is able to explain things in better ways than I can.