The big internet providers (Comcast, AT&T, Verizon, etc) want to be able to charge Netflix and others for the right to deliver content to the end user. The basically want to put up a toll booth.
Cable television currently makes money from their customers (you and me) and also from the TV stations that pay for the right to be on the cable lineup. The ISPs want a similar business model for that business. Of course once ISPs start making decisions about what you can access then they could cut off whatever they want (think "hate sites" like freerepublic)
Net neutrality is the concept that ISPs should be neutral and simply transmit information not interfere in any way.
Only problem I have is when I read the actual text (this thread points to it).
It is horrifically open-ended.
As worded, if something down the road is deemed by the FCC, at its sole internal discretion, to be somehow interfering with the “openness” of the internet, they can shut it off.
This particular wording of “net neutrality” is a law that’s cleverly worded to allow the thing it’s purported to be prohibiting.