The first name used for God in the Bible is Elohim (Genesis 1:1 "In the beginning, Elohim created the heavens and the earth")
Its interesting, Elohim is word used to talk about many gods, such as the gods of the other nations, but in reference to the Creator, it is always used as a singular (Elohim and He appearing together, instead of They, which would be more gramatically correct). Deuteronomy 6:4 says "the Lord your Elohim (plural) is one".
Elohim is used mostly to speak of God's creative power or to speak about God in reference to creation (such as the earth trembling before Him). Elohim is the name used in Jeremiah 32:27 "Behold, I am the LORD, the Elohim of all flesh; is anything too difficult for Me?" - understanding Elohim as describing the creative power of God, this verse takes on new meaning "I am the Lord who created everything, is anything too difficult for Me?"
To know God as Elohim is to know Him as creator, as able to make, remake, sustain and control. It is to understand that He has created the world with a purpose (Isaiah 45:18) and to realize that we are part of that purpose, and that as His creation we too have a purpose. To see God as Elohim is to be swept up in the realization that the God who created all the world, before whom creation trembles is our Elohim, cares for us, looks after us, is with us.