Being someone who usually votes conservative, I find that net neutrality among conservatives is largely misunderstood. I continually hear that it requires content to be neutral. Meaning that if one opinion is present on a web page, all opposing opinions must be present as well to maintain neutrality. Everyone here should understand that is false. The source of that misinformation seems to be that the bill could be interpreted to let the FCC dictate content requirements. If the FCC were to do something crazy like that, it wouldn't hold up in court due to free speech, so it's not a reasonable concern.
To prevent misinformation, here are the two views to net neutrality.
1) Pro Net Neutrality: Internet Service Providers (ISP) should not dictate which data sources are allowed, how much bandwidth is allowed from each data source, or charge differently for data sources. For example, Netflix creates up to a third of internet traffic in the evening hours. As a result, ISP's are temped to reduce bandwidth allowed from Netflix to free up resources. Net neutrality would not allow this. This is usually the consumer point of view.
2) Anti Net Neutrality: The ISP's own their equipment, pay for their bandwidth, and can do what they want with it. If they want to shape network traffic to make overall service better, it's their right. This is usually the business point of view.
There are lots of details associated with either option. There can be a hybrid approach taken by the FCC as well. For example, if YouTube traffic gets so bad that I can't load a web page in a reasonable amount of time, then limiting YouTube would be in my best interest. In the rare cases such as that, bandwidth limiting is a good idea. Illegal activity such as child pornography could reasonably be blocked as well.
Here's the wikipedia article.