You can use CmapTools to search the internet, just like you would any other search engine.
From an open Cmap:
Select Tools, Search, then Web Information ...
You will now see the Search window.
Enter the search term in the text input field at the top of the window, and click Search.
The Search window will begin showing the results of the search in the bottom field. Double-click any search result to open it.
The search tool can automatically search for a term in your Cmap by selecting on the concept or linking phrase, and then starting the search tool as described above.