adding the hops and leaving them in the whirpool for 10 minutes (also called a 'hopstand', I believe)
Not an expert, but I think that whirlpooling can be done can be done with or without hops. Whereas, like it says, a hop stand needs hops and can be done with or without whirlpooling (using a pump or any other method to create the whirlpool).
Whirlpool hopping has the advantage of keeping the hops in suspension and extracting more of the flavor and aroma and can even be done with a spoon. Even if you're not whirlpooling, the stand part of hopstand, is the length of time you hold a temperature.
At least that's my take on it?