Turn the multi-port valve of your filter to the "drain" setting to lower the water level in your pool below the skimmer.
Scrape away any caulking around the outside of the skimmer device with a screwdriver. Once it's lifted from the pool wall, it will peel off easily.
Unscrew the skimmer faceplate inside the pool. Set the screws and plate aside in a safe place.
Remove the remaining screws behind the faceplate that hold the body of the skimmer in place. Hold the skimmer body while removing the screws to keep it from falling. Remove the skimmer and discard the old gaskets.
Place a new gasket behind the skimmer body and hold it in place against the pool wall, aligning it with the screw holes. Reattach the screw you removed that held the previous body in place.
Reattach the skimmer faceplate with another new gasket. Place the gasket behind the faceplate and refasten the screws that previously held it in place. Seal the outside of the skimmer body along the edges of the seal with a layer of silicone caulking for extra leak protection.