Presume we are talking about the pump fitted below/behind the air filter, and not the one attched to the rad.
If so I have recently been investigating mine, though note I only have manual aircon not cc, so operation may be different.
At first it didn't work at all, could not get it to operate with any combination of switches. Following advice on here from another member I checked there was voltage at the connector. Should be 12v plus whenever the ignition is on. Having proved power was there I rmoved the pump, undid the 4 screws and found that it was pretty gunked up inside, probably due to a poor coolant regime by previous owners.
After putting it back together It worked! When it's working you can feel it vibrate and with the engine off you can also hear it.
Sadly, as suggested by JonathanH in response to my original post, it works when cold but not when hot, though I can get it to run by gripping the pump firmly and squeezing/flexing the end near the electrical connector.
On my version I think its purpose is to promote better flow through the heater matrix, particulalry at idle. On cc versions I understand there is an option to continue running the heater when the engine has been turned off.
Try a google for bosch auxilliary coolant pump for some more info.
Steve