Some grocery stores will "double" the face value of the coupon. In this case, you will receive a discount equal to twice the face value of the coupon. The double coupon discount will usually appear on your register receipt as two coupons (one as the manufacturer's coupon, and a separate line for ?gdoubled coupon?h). Many double coupons have a limit to the amount of the coupon (double up to $0.50 which would equal $1.00 savings - or double up to $1.00 which is equal to a $2.00 savings).
The store is not reimbursed beyond the face value of the coupon, but it many stores do it to drive customers to their store to do their grocery shopping. Some stores will limit the number of coupons you can double at one time.