This.
I'm in Skywarn and I have a number that the local NWS office can look up in a database for my contact information. I also know a bit about storms and what to look for (more than the average person, but nothing compared to what a forecaster knows), and I even have a work polo with the Skywarn logo on it. But that's really about it. It's not some elite organization of super-smart weather people or anything. Just a bunch of us Joe Public types that have a passing interest in weather, and generally want to help the local NWS office out by reporting severe events (everything from funnel clouds to a tree that fell down due to high winds or too much ice, etc..).
Heck, I still need to go to a rehash of Basics II because the power point presentation that I got was kinda "eh", plus the NWS guy's laptop was acting wonky that night. I even tried to fix it so he could play a video for everyone, but the NWS IT people had that thing locked down pretty good.
Anyone can find software to do this. The radar data is collected by radar towers funded by taxpayer dollars, so it is by default, the property of US taxpayers. This means that the processed data packets are actually disseminated on public servers for consumption by various kinds of radar software products.
The one that I use is called Stormlab, and you can take a look at it over at
Welcome to Storm Alert Inc. -- WEATHER WARNING AND DOPPLER RADAR SOFTWARE. It's software that is pretty easy to install on any old Windows system, and all it needs is an active internet connection, which in a car, can be had with mobile broadband from any cellular carrier (but be prepared for the happy wireless bill that you'll get). This is probably something very close to what this guy had. But you can also get it too, and toy with it on your home computer. I do, with both Stornlab and the other product by that company, Interwarn. Both are very good, and will keep you very informed on what's going on with weather in your area. Definitely add in a device that can pick up the NOAA All-Hazards radio bands as well, and you'll have a full toolset.
You can also learn more about radar here at the NWS's "Doppler University":
NWS JetStream - Introduction to Doppler Radar
Also do Google searches for "Skywarn Basics I" and "Skywarn Basics II", and you'll probably find the powerpoint presentations from their classes for download.
And definitely, definitely consider attending one or more of the Skywarn classes local to your NWS office. You'll find that the impression given off by one guy does not rubber stamp the face of an entire national, albeit loosely-knitted, organization.
Hope that helps!