Morning Heavenly_bound,
I think that one of the best scriptures demonstrating God as being individual persons is in Hebrews:
======================================
But about the Son he says,“Your throne, O God, will last for ever and ever;
a scepter of justice will be the scepter of your kingdom.
You have loved righteousness and hated wickedness;
therefore God, your God, has set you above your companions
by anointing you with the oil of joy.”
He also says,“In the beginning, Lord, you laid the foundations of the earth,
and the heavens are the work of your hands.
They will perish, but you remain;
they will all wear out like a garment.
You will roll them up like a robe;
like a garment they will be changed.
But you remain the same,
and your years will never end.”
=======================================
In the scripture above, we have God the Father referring to the Son as God. We also have the Father referring to the Son as the One who laid the foundations of the earth and created the heavens. Of course there are other good scriptures that demonstrate the individual persons of the God-head, like when Jesus was baptized and the Holy Spirit descended in the form of a dove and the Father's voice from heaven said, "this is my Son whom I love, with him I am well pleased." We also have in the book of Revelation, the Lamb (Jesus) taking the scroll from the right hand of the Father who is sitting on the throne.
I don't pretend to understand God's existence, but I can deduce the individual persons of the God-head as being one God via scripture.