COOK potatoes and bacon in large skillet on medium heat 15 to 20 min. or until bacon is crisp and potatoes are tender, stirring occasionally; drain. Combine potato mixture, bread, broccoli and 1 cup shredded cheese; spoon into 13x9-inch baking dish sprayed with cooking spray.
WHISK cream cheese spread, eggs and pepper in medium bowl until blended. Gradually whisk in milk; pour over bread mixture. (Bread cubes should be evenly moistened.) Cover. Refrigerate 2 hours.
HEAT oven to 375°F. Bake strata, covered, 40 to 45 min. or until knife inserted in center comes out clean. Sprinkle with remaining shredded cheese; bake, uncovered, 10 min. or until melted.