Peel the zest in strips from the lemons. Cut the strips into 1-by-1/8-inch julienne. Transfer the zest to a large saucepan and cover with water. Bring to a boil and simmer for 10 minutes. Drain and return the zest to the saucepan. Add 1 1/4 cups of the sugar and 1 1/4 cups of water and bring to a boil. Simmer over moderate heat until the syrup is reduced to 2/3 cup and the zest strips are translucent, about 10 minutes. Using a slotted spoon, transfer the strips to a bowl and toss with the remaining 1 cup of sugar. Let cool.