If your toilet clogs, you can usually use a plunger to restore function. Simply flush the toilet one time and press a plunger over the opening. Create a seal and pump the plunger multiple times to move the blockage through the pipes.
If your sink clogs, you may be able to fish debris out of the trap using a drain cleaning tool. These are available at most hardware stores. Please do not use corrosive chemicals in your drain, as these could damage the pipes.