Fill large bowl with water; add remaining 1 tablespoon lemon juice. Using large knife, cut off top half of 1 artichoke, then cut off all but 3/4 inch of stem. Remove tough outer leaves until only 2 rows of tender green leaves remain in center. Using vegetable peeler, peel stem. Cut artichoke lengthwise in half. Using paring knife, cut out prickly choke in center; discard. Cut artichoke lengthwise into 1/4-inch-thick slices; immediately place in lemon water. Repeat with remaining artichokes. Drain artichokes. Heat remaining 1 tablespoon olive oil in large skillet over medium-low heat. Add artichokes and 1/2 cup tap water to skillet; sprinkle with salt and pepper. Bring to boil. Cover, reduce heat to medium, and simmer until artichokes are tender and water evaporates, about 15 minutes. Remove from heat and cool. DO AHEAD Can be made 2 hours ahead. Cover and chill.