Peel kiwifruit. Process in blender or food processor just until smooth; do not crush seeds. Stir in lemonade concentrate and water.
To make popsicles: Pour mixture into small popsicle molds or paper cups; place cups in freezer until partially frozen. Place popsicle sticks in center of cups and freeze firm.
To make sorbet: Pour mixture into a metal pan. Cover with foil; freeze until firm (or freeze in ice cream freezer, following manufacturer's instructions).
Remove from freezer; let stand 10 minutes. Break into small pieces and put into food processor with metal blade in place. Process until smooth. Pack into plastic or cardboard container and cover. Return to freezer. Serve by scooping.