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The latter is a Model S browser optimized UI. Basically makes it fit nicely into the half-window size browser window to look almost like the Nav maps. Also, there is a link that lets you bookmark the URL with the auth token so you don't have to enter your username/password every time after you've logged in once.
It also sets the options for what is appropriate for a Model S (though if you have a CHAdeMO adapter you have to manually check the CHAdeMO box) and you can filter to only show charging stations at hotels. If you want to see what this looks like, you can go to tesla.plugshare.com from any computer and it will display the page as if it's in the car browser.