Typically, the cruise servo will not leak if it goes bad as the solenoid vacuum valve fails closed and the vent valve fails open when the unit isn't operating. Although you can't rule that out if you know the unit is fubar or the valve leaks or is stuck. You can take the smaller hose off and plug it to test. The fat line just goes to the vent valve release above the brake pedal.
If you want to test your servo, you'll need to do some electrical tests on the vacuum/vent valve solenoids, etc.
Go here for a pdf of the K34 electronic cruise control troubleshooting manual:
Searched around and didn't see one already posted here for G-body, so here one is. If you have the electronic cruise control on your car from 84-88 and need help troubleshooting issues, this manual could be of some use for you.
Mods: if this needs to be moved to a more appropriate place, please do so. Knowledge Base was the best place in my estimate, but I could be wrong.