Preheat oven to 350. In a large bowl, cream 1 cup granulated sugar with butter until light and fluffy, about 3 minutes. Mix in egg and molasses and blend well.
In medium bowl, stir together flour, baking soda, salt and spices. Add butter to mixture and blend well.
Fill a shallow bowl with granulated sugar. Break off walnut-size pieces of dough and roll into balls; roll balls in sugar. Arrange on greased cookie sheets and bake until golden brown, about 10 minutes. Transfer to cooling racks.
Meanwhile, make glaze: Combine powdered sugar with 1 tbsp water and stir until smooth, then stir in lemon juice. Drizzle glaze over cookies and cool until glaze hardens.