In a large skillet, combine sprouts and 1/2 cup water. Bring to a simmer over medium heat. Cover; cook, stirring occasionally, until most of the water has evaporated and sprouts are crisp tender, about 5 minutes (add more water if skillet becomes dry before sprouts are done).
Increase heat to medium-high; add olive oil to pan. Continue to cook, uncovered, without stirring, until sprouts are golden brown on underside, about 5 minutes. Remove from heat. Stir in lemon juice; season with salt and pepper.
Brussels sprouts are delicious, high in fiber and like other vegetables in the cruciferous family, are rich in a wide variety of nutrients and antioxidants. You will know when Brussels sprouts are in season when they are readily available in the market; look for nice green, small-medium sized sprouts. To prepare for cooking, rinse in cold water and remove the ends with a paring knife. For maximum health benefits, do not overcook.