For me the capital G denotes the Grace of God. This Grace is the unmerited favor God shows toward His children. He loves us and wants us to be in relationship with Him so that He might bless us, not because we are worthy of His blessing, but because of His great goodness. We have been assured that God's Grace is sufficient for all our needs and when we are troubled by our circumstances, we are wonderfully comforted by the knowledge that God is in control and He loves us all very much.
Hate is such a negative, counterproductive emotion. If we entertain hate and permit it to enter into our lives, It has the capacity to destroy all everything that we find to be worthwhile, precious and positive.