As an optional step, you can make the mummy's torso a little bit wider so that it looks less like a stick figure. Simply cut out a rectangle or a trapezoid from cardboard or thick cardstock to create a torso. The shape should be tall enough to cover most of the craft stick body.
Glue this paper torso onto the craft stick body, about a half-inch below the head.
Place one craft stick in a horizontal position below the head to create a pair of arms. Place a pair of craft sticks at the base of the body to make a pair of legs.
You can move the arms and legs around to achieve a mummy pose that you like. Once you're happy with the position of the arms and legs, you can glue them in place with white glue. Let the glue dry completely.
Cut gauze or white crepe paper into manageable lengths, around 12 to 18 inches per strip.
Choose a starting point for wrapping the mummy. The head is a good place to start but you can also go for the tip of an arm or leg. Glue the end of one strip behind the mummy's head or whichever section you want to start wrapping.