No, there isn't a Web 2.0 browser at the moment; probably because private industry wants to steer people to commerce and advertising revenue than free, public, open source material. That's part of the problem from my perspective.

Web 2.0 tools are both private (propriety-system like Second Life) or public (open source like Open Sims) and available on the Internet. The Open Source movement is trying to make knowledge free and accessible to all, but remember there are copyright issues and dissemination issues with the Internet.

Who controls how information is disseminated or retrieved or consumed - you or Google? Who enters the search terms? Is it easier to click on wikipedia or worthwhile to try Googling for other ways to find what you're looking for?

There's a global open source movement. Global digital literacy skills are long overdue. Other countries have already made global digital literacy and citizenship a priority. Unesco, the UN, etc. have online sources, if interested.

Facebook is a social networking Web 2.0 tool that most people are familiar with. But there's also many non-commercial, free, open source Web 2.0 tools that are not getting the coverage or knowledge about them disseminated.

If you are motivated, savvy and have the time, energy, and patience, you can retrieve open source Web 2.0 tools. Google free educational math games instead of just math games and you'll see the difference. That's one method.

Another method is to look at Web 2.0 sources like by entering (notice Creative Commons sponsored this wiki):
http://web20guru.wikispaces.com/Web+2.0+Resources

Or from Web 2.0 lists by typing in Top 100 Web 2.0 tools for students/teachers:
http://edudemic.com/2011/11/best-web-tools/
http://www.onlinedegree.net/100-essential-2-0-tools-for-teachers/

Or look at what others are doing on sites like www.livebinders.com

Years ago, in the dark ages of print, we were taught basic research and library skills; in many ways it's no different with the Internet.

Perhaps everyone thinks Google will suffice and we don't have to stop and think and question (especially our sources) and use common sense any more???