In some sense, we all seek something. Some characters may seek to serve a greater good; others may just crave security. There are those that throw themselves into a search for deeper meaning, while others place power above all else. Then, there are those few who just want to find a moment of true peace before they die.
What does your character seek? What is that core drive that keeps them where they are or pushes them to go farther? How aware are they of this ultimate goal and how has it shaped their life?