I am once again reading Hemingway's "A CleanWell-Lighted Place," the story that is often cited as an example of this style.
The style is minimalist and Hemingway often compared it to an iceberg: the sentence is simply what has surfaced in the writing...underneath is all that is discarded, unsaid, unclear. It is good counsel but hard to practice in daily writing. But the advice will lead writers to a stronger stye. The other part of Hemingway is his use of hard, distinctive descriptions of objects, ideas, times, or people. This style is what Hemingway is most remembered for.
Clean, well-lighted sentences.