Actually, no.
Ultraviolet and infrared are completely different wavelengths, we cannot see them, but they can hurt our eyes even though we can't.
We see because of specialized cells on our retinas that perceive certain colors of the spectrum. Red, yellow, blue. With those three, we can see all we can see.
edit: Let me compare human sight to bees.
Bees have different cells in their eyes, and can see ultraviolet light.
They are sensitive to blue and yellow mostly. Hardly red. So if they saw a red flower, they may just ignore it. If they saw a blue or yellow one, they may go for it. They also see based on how ultraviolet reflects off of the object.