Just want to add a ClearQuest widget to my dashboard... nothing else
Accepted answer
The CQ Synchronize and CQ Bridge are two different items - you would use one or the other but not both.
However, it doesn't look like you need to set up either, according to the InfoCenter. You just need to set up a friend relationship between CCM and the CQ server, and make sure you're logged into the CQ server when you want to perform the query.
Step 1 of the CQ Bridge setup explains how to create a friend relationship between CCM and CQ. If you just want to set up the query you probably don't need to perform all the steps for the CQ Bridge.
This page describes how to set up the CQ Query Widget and use it to log into CQ.