My understanding of God and is not so much and understanding or way that I look at him, but a relationship that I have with him. I am a Christian so I believe in the Holy Trinity, Three person in one God. God the father, God the Son and God the Holy Spirit.
The term person comes from the Roman "persona" which they learned from the Greek term "prosopone" which means mask. They visualized the person like an actor who gets his message across to his audience through a mask. Human persons were not considered so until the 13th century. Before that the term person was only spoken of about the Gods and then the Holy Trinity.
I mention this because usually we think of human persons when we think of a person and not God, when in ancient times it was the other way around. All this talk about the person should lead us to understand that we can have a personal relationship with God.
How close should we be? Jesus says,
"Truly, I say to you, whoever does not receive the kindom of God like a child shall not enter it." Mark 10:15-16
He said this to his disciples as they tried to drive away the kids that were trying to get his blessing. Yet Jesus tells them, and us, that we must accept the kingdom of God like a child. What does it mean to be like a child? Well, they were running to him like kids do when they want something good or when they go to get a priest's blessing. They run and they are so excited and happy about what they have recieved.
Another way children act that we might learn from is that they are constantly at their parents side learning, asking, giving signs of affection and the like. This is the relationship we should try to maintain with God.