Question

Gareth goes to Camelot to become a knight but agrees to work first as a kitchen scullion. What does this behavior suggest about Gareth?

Answer 1

The behavior suggest that: He is willing to do anything to achieve his goals. 

Gareth realized that someone with a background like him is almost impossible to enter knighthood.
He took the job because he wanted to get Close to King Arthur and he eventually notices Gareth Value and potential.