I volunteered at the Airport in 2015 and it was a really cool experience.
I only worked one shift as "Night Watch" / "Border Control" which is basically making sure people going to/from the event to the parked airplanes have the proper wristbands and making sure no one tries to sneak in at night. There are a ton of other positions listed on the volunteer website you can read about here: http://airport.burningman.org/us-who-we-are-and-were/volunteer-info/
The volunteer jobs range from logistical stuff like processing passengers, to ramp operations like guiding taxiing traffic, checking arrival documents to actually running the UNICOM and giving weather advisories to local traffic, particularly about what runway/pattern is in use given the current winds.
Many of the positions (especially ramp side jobs) require some familiarity with how the airport operates and my impression was you "worked your way" up to those. Like many things at Burning Man, if you show up, volunteer and contribute you can end up doing some cool stuff.
You can subscribe to the volunteer mailing list by sending a blank email here:
[email protected]
If you're curious about pilot experiences flying to/from the event (which is what I think your original question was about) I would subscribe to the aviators discussion list by sending a blank email to this address: [email protected]
Both are great resources for getting first hand information about what its like to fly into and volunteer at 88NV