Hi Familychoice,
The drop downs do work in IE6 (just double checked in my copy of IE6). There are several of reasons they may not be working.
1. An out of date Control Panel theme is being used. Given that you are relatively new to EE this is unlikely but if you are taking over an EE install for someone else, its worth checking.
2. Javascript is turned off in the browser
3. The client has changed the default Control Panel behavior. The drop down mechanism can be changed in the CP by going to Admin --> System Preferences --> Control Panel Settings. There you can change the tab behavior from rollover, click, or none.
Please verify that the client is using an update to date CP theme, has Javascript turned on, and the behavior is set correctly in the Control Panel.
If Javascript is turned on and the behavior is set correctly in the CP and the drop downs don’t work, please let us know what build of ExpressionEngine the client is using and the version of IE6 being used.