It's slightly similar to going to war in clash of clans, but different.
When you are in a task force, as you go along in your regular battles, you will be awarded periodically with these little blueprint looking things that are intel. From what I can tell, once the task force members have enough intel, the leader will start an Operation, during which each member will attack a large enemy Power Base to weaken and hopefully eventually destroy it. Each member gets one attack and the damage done is permanent throughout that operation, so let's say, I go in and I take down a couple sniper towers and a canon, but don't get to the power base, the damage is still there when the next member attacks and they have a better chance at destroying the power base. If all members of the team use their one attack, the team can damage one or two enemy power bases, and at the end of the operation, booty is divided among them team.
Gotcha, I'm going to try my own task force for a while and see what I can do. I was a part of VolNation for a little while but wanted be a part of a more active task force where every member participated. I'm a level 62 player with 777 victory points so I play daily.