The doctor's report accounts for a) your computer viewing the page for X minutes, b) the overall searches per power used by google's datacenters, and c) some other random guessing I'm assuming.

Google's figure accounts for usage of power the google search actually utilizes.

Both of these are skewed figures, reflecting the agendas of the two. The doctor has a site he wants to promote, google has a "green" label they want to keep.