Straightforward, Simple
The writing style in Way of the Peaceful Warrior is as empty of distractions as Socrates' mind must be. It just says directly what the author means, with little to no befuddling complexities of syntax. Indeed, the straightforward, simple writing style matches the straightforward, simple type of attention Socrates advocates.
Here's an example of just how straightforward the prose style is:
“I dressed quickly and skipped down the rear steps of Harmon Gym to watch the sky over Edwards Field turn orange with the sun's final glow. The cool air refreshed me. Relaxed and at peace with the world, I ambled downtown to get a cheeseburger on the way to the U.C. Theater. Tonight they were showing The Great Escape, about a daring escape of British and American prisoners of war.” (2.2)
Any confusion reading that? We thought not. How is this simplicity achieved in the paragraph above? Well, half the sentences start with the grammatical subject, which helps ease the work of understanding. There are no semicolons or dashes, although the novel is not averse to those. The vocabulary is simple. Only four words have three syllables; none have more, and the rest have fewer. In short, although some of the philosophical ideas might get difficult at times, the writing style is just plain and clear.