Heat olive oil in a large skillet over medium heat. Add garlic, and cook for a few minutes, stirring constantly.
Pour in the tomatoes with their juices, and simmer until the liquid has reduced by about 1/2.
Place the broccoli on top of the tomatoes, and season with a little salt and pepper. Cover, and simmer over low heat for 10 minutes, or until the broccoli is tender. Do not over cook the broccoli, it should be a vibrant green.
Pour into a serving dish, and toss to blend with the sauce before serving.