So, is Net Neutrality just a big competition among big businesses?

No. Small business owners benefit from an Internet that allows them to compete directly -- not one where they can't afford the price of entry. Net Neutrality ensures that innovators can start small and dream big about being the next EBay or Google without facing insurmountable hurdles. Without Net Neutrality, startups and entrepreneurs will be muscled out of the marketplace by big corporations that pay for a top spot on the Web.
If Congress turns the Internet over to the telephone and cable giants, everyone who uses the Internet will be affected. Connecting to your office could take longer if you don't purchase your carrier's preferred applications. Sending family photos and videos could slow to a crawl. Web pages you always use for online banking, access to health care information, planning a trip, or communicating with friends and family could fall victim to pay-for-speed schemes.
Independent voices and political groups are especially vulnerable. Costs will skyrocket to post and share video and audio clips, silencing bloggers and amplifying the big media companies. Political organizing could be slowed by the handful of dominant Internet providers who ask advocacy groups or candidates to pay a fee to join the "fast lane."

Information found on http://www.savetheinternet.com/=faq#who

So, no, its not just a big competition amongst the big businesses. In fact, a free Internet allows for a healthy competition amongst all businesses, big and small. So, by establishing Net Neutrality, the big businesses could eliminate the small businesses and lead to an unhealthy competition amongst just the big business. So, with Net Neutrality, all the businesses are free to compete with one another.