contemp.: 'lol internets'
All manner of news and information can be accessed through search engines such as Google. All the major news outlets have websites that have free or subscription access to news.
You usually use the Internet via the World Wide Web. You use a Web browser such as Internet Explorer or Firefox to look things up.
The Internet is not without its problems. Viruses and spyware abound and can major mess up your computer if it becomes infested with them. You need a firewall and antivirus program for safety.
While it's true that there exists an Internet2, there is no plausible reason to believe that Bush was referring to it, because I have no reason to believe that he is sufficiently technologically literate to be aware of its accidents and (more importantly), Internet2 is used solely as a network with which academic institutions transfer files at extremely high speeds and would therefore not have information about Bush's alleged millitary service foul play.