Determine how large you want the drywall cover to be; you can build a small cover that sits right against the pillar or you build a large cover to make a grander statement. Use a measuring tape to make your measurements around the base of the pole.
Mark out the area around the base of the pillar. Use a measuring tape, chalk and a straightedge to mark out the location of the frame on the floor.
Cut pressure-treated 2-by-4s with a circular saw to equal the measurements of the sides of taken in Step 1. Cut two sets of 2-by-4s -- one for the base and one for the top of the frame.
Place the cut 2-by-4s over the chalk lines on the floor. Drill holes 2 inches from each of the edges of the 2-by-4s. Use a masonry bit to drill the holes through the 2-by-4s and the floor.
Drill concrete screws through the holes in the 2-by-4s and into the floor.
Mark out the dimensions that are equal to the base of the frame onto the ceiling joists above the pillar, using a measuring tape, straightedge and chalk.
Position the cut 2-by-4s in place over the chalk lines. Drill wood screws through the 2-by-4s and into the ceiling joists. Position the screws so they are 2 inches from each of the edges of the 2-by-4s.