Carefully remove rind from lemons using a vegetable peeler, making sure to avoid white pithy part of the rind. Cut rind into 1 x 1/8inch-thick strips.
Combine 1 cup sugar and 1 cup water in a medium microwave-safe bowl. Microwave at HIGH 2 minutes; stir in lemon rind. Microwave at HIGH 3 minutes, stirring every minute.
Spread remaining 1/2 cup sugar on a parchment-lined baking sheet. Using a fork, remove lemon peel from sugar syrup; add to sugar on baking sheet, and toss well. Spread rind in a single layer on baking sheet; let stand at room temperature until dry. Remove peel from sugar, and store in an airtight container. Discard remaining sugar.