The complete statement is this: Information that sensed in the right visual field is processed in the LEFT HEMISPHERE OF THE BRAIN.
The eye is an organ of sight that is used to receive physical stimuli in the form of light. The light is then sent as electrical stimuli to the brain for interpretation.
The eyes are constructed in such a way that, the left hemisphere of the brain process visual information from the right eye while the right hemisphere of the brain process information from the left eye. The optic chiasm, which is a complicated crossover of optic nerves fibers located behind the eyes at the bottom of the brain makes this to be possible.