Wouldso would I display a website's full website as opposed to the mobile website using webview? Whenever I personally use webview while developing it opens the mobile version from the site. I'd want it to open the entire version (unsure how it is known as - full/desktop version). I looked with the android api and could not find anything.
The web site that you're viewing most likely recognises the Android Browser User Agent, and adjusts this content from the web site to render particularly for cell phones. Try setting the user agent to some desktop browser user agent.
For clearness - this is a sample Android browser user agent (Google android nexus one phone, running Android 2.2):
Mozilla/5.0 (Linux; U; Android 2.2; en-us; Nexus One Build/FRF91) AppleWebKit/533.1 (KHTML, like Gecko) Version/4.0 Mobile Safari/533.1
Here is a Google Chrome user agent (on the Mac):
Mozilla/5.0 (Macintosh; Intel Mac OS X 10_7_2) AppleWebKit/535.7 (KHTML, like Gecko) Chrome/16.0.912.63 Safari/535.7