Cut the orange peel from the orange, cutting it into large sections from top to bottom. Carefully remove the peel from the orange.
Cut each section of peel into thin strips, about ¼” each.
Fill a saucepan with water and bring to a boil over medium heat. Add the orange peels and boil for 3 minutes.
Leave the water boiling and using a spider or slotted spoon transfer the peels to a colander and rinse with cold water.
Return the orange peels to the boiling water and boil for an additional 3 minutes. Reserve ½ cup water then drain the pan with the peels into a colander.
Return the saucepan to the stove and add the reserved ½ cup water and ¾ cup of the sugar. Stir to combine then add the orange peels. Bring the mixture to a boil over medium heat.
Cook for 10 to 15 minutes, or until the orange peels have soaked up most of the sugar syrup, stirring frequently.
Place the remaining 1 cup of sugar in a large bowl. Using tongs, drop the orange peels in small batches into the sugar. Toss the peels in the sugar to coat all sides.
Set the sugar coated orange peels in a single layer on a wire rack placed over a baking sheet.
Bake the peels in a 250-degree oven for 20 minutes. Allow them to dry overnight, uncovered, or until the sugar coating is set.
Store in a sealed container.