1. Cut stalks off the broccoli, and peel coarse skin using vegetable peeler. Chop stalks into 1/2-inch pieces, and set aside in a small bowl. Chop florets into 1/2-inch pieces, and set aside in another small bowl.

2. Heat olive oil in a large skillet over medium-high heat. Add onion and garlic, and cook until softened, about 4 minutes. Add chopped broccoli stalks and 1/4 cup water. Cook until stalks soften, about 3 minutes, adding more water if pan gets dry. Add chopped florets, and cook, stirring occasionally, until tender and bright green, about 6 minutes. Season with salt and pepper, and serve hot.