If you want your site to have anonymous access enabled (i.e., you want to treat it like any site on the Internet that does not ask you to provide a user name and password to see the content of the site),
If you want to make your sharepoint website available on Internet and anybody can use it than you can follow below steps:
1) Log-in as an administrator
2) Click on site settings
3) Click on Go to Site Administration
4) Click on Manage anonymous access
5) Choose one of the three conditions on what Anonymous users can access:** Entire Web site** Lists and libraries** Nothing Default condition is nothing; your site has restricted access.
The default conditions allow you to create a secure site for your Web site.