I do not believe that God is some anthropomorphic deity who created the universe from a distance and then went on vacation. I believe that our very continued existence is dependent upon God's giving of Godself. God sustains us - all of us. God is the basis for existence, the "ground of being" as Paul Tillich put it. If that's not unconditional love, I don't know what is. Love is the very reason why this universe exists.
This is, btw, why Willamena's statement is absolutely true. All love is unconditional in that love recognizes that there is no difference between us. It is also why "Love God with all your heart" and "Love your neighbor as yourself" are ultimately the same. All of creation is an interdependent web, tied together in God.