Once it is implemented, it will be way different. Way. It will be Next Gen for crying out loud.
Right now, suppose I want to fly from ONZ to 3NP for lunch. Detroit TRACON sees that I am VFR, not talking to anyone, I'm somewhere south of the Carlton VOR, headed west at 80ish knots, 2000ish feet based on their radar system. Since the data on my speed and location comes from the same radar as the speed and location of that Boeing 7xx climbing out of 22L, they can see how much separation there is laterally, but since my altitude comes from my own encoder / mode C transmission, it is unverified and they would be advising the 7xx of that fact.
With ADS B, they will see that I am VFR, not talking to anyone, I' somewhere south of the Carlton VOR, headed west at 80ish knots, 2000ish feet. But in this case, the data is coming from the GPS in my airplane. Now the altitude information comes from both my encoder and the GPS. I'm a little fuzzy on this bit - but I would assume there is a cross check between the two data sources.
And, if I eff up and nick a corner of the Bravo airspace, ADS-B will give them the ICO identifier for my aircraft that they can use to track me down. Of course, if I am flying something no-electric, (or "forget" to turn it on) then ADS-B does not provide a primary radar return so I can vanish completely and fly right through the B undetected if the FAA ever decides to turn off the radar.
Then there is the benefit if, for example, you are making the dash across the Gulf of Mexico where there is no radar (particularly if you are flying at, say, 50 feet AGL for some reason or another), then you don't have to be talking to anyone to get warnings about traffic conflicts. Also, places like back country Idaho - if people who fly around in the middle of nowhere were inclined to install ADS-B in and out in their Cubs, then they would get traffic information. Of course, these are the places are where ADS-B is not a requirement...
Next Gen is the new modern way of air traffic control. It will be much better. The airlines will be able to shave 5 or 10 minutes off your flight to Disney World. Next Gen. Modern. Better.