Ornstein's style of writing is not terminology-laden, so even people who have never studied cognitive science or anatomy or neuroscience or [fill in the blank with another relevant field here] will be able to pick up the book and read about the wonders of the right hemisphere. The chapters have fun names to go with the interesting topics like "The Run of Dichotomania," "Wit or Half-Wit?" and "An Avalanche in the Human Brain."
Throughout the book, Ornstein uses examples from psychological and linguistic experiments, patients with brain damage, and general observations to demonstrate that while the left hemisphere may be responsible for language at its core, the right hemisphere is necessary for being able to understand context, which allows us to form the "big picture" of our world. In other words, the left hemisphere helps us see the individual trees, but the right hemisphere allows us to see the entire forest. Through Ornstein's examples, you begin to see that a world without context is one without true understanding.
If you're interested in understand more about how our brains process language, I highly recommend getting your hands on a copy of The Right Mind.