TOR (The Onion Router) browsing using the Onion network is really ideal for hardcore journalists and people who are targets. Most consumers don't need this level of protection. It uses a decentralized anonymous networking relay to hide your online identity.
If you are planning on buying illegal drugs or other items, then TOR is your tool of choice. If you are a journalist avoiding oppressive government tracking or a hacker who doesn't want to be identified, then TOR is the right fit. It is slower and has a bit of a learning curve.