"Counter Surveillance" is a series of side quests in inFamous, in which Cole is asked to disable surveillance cameras that the district's gang has installed on a building. They can be undertaken regardless of Cole's karma alignment.
A concerned citizen tells Cole that a faction (Reapers, Dust Men or First Sons dependent on the area Cole is currently in) have set up surveillance equipment on their building. Cole must destroy all of the glowing red surveillance devices attached to the building in order to complete the quest.
These missions are pretty simple, but searching for the devices can be pretty tricky. These missions often involve some skillful climbing. The target buildings will be marked on your map by a glowing yellow circle, which will adjust depending on how many devices you have left to destroy. When you get close enough to a device, press triangle to disable it. Sometimes, you may have to slide down walls to get close enough to a device to disable it.
Completing these missions rewards 100 XP, and frees up territory in each of these districts of Empire City.