At first naive, she was able to read minds, and soon learned more about 'normal humans'. This led to an increasing urge for independence from Matrix, which caused her to try to establish an identity, Rainbow Roberts, at a bank.
Her boyfriend/love interest was Jay Endicott, who became known as Crossfire.
The DNAgents were eventually placed into suspended animation by Matrix when the company grew tired of their rebellious nature. At that time it was revealed that Rainbow was pregnant. That storyline was never resolved.