Unfortunately, Google Earth does not provide real-time images of Earth. Some almost real-time images of clouds are available under the Weather category at the left side of the program.
To see an image of current cloud formations in Google Earth, open the Weather category at the left side of the program and check the Clouds checkbox.
Google also provides animated images of clouds for the previous 24 hours that can be found by clicking Information in the Weather category. Click Download, and make sure the Clouds Animation checkbox is selected at the left side of the page. This opens a slider to view the animation.
While Google Earth does not currently have the capability to offer full real-time images of Earth, it may be able to offer some version of this in the future, or close to it. Google recently purchased Skybox, a company creating satellites able to take high resolution pictures of the entire earth twice a day, according to CNBC.
For the time being, the closest you can get to a real-time map of Earth is Landsat Live, which updates as NASA's Landsat 8 satellite orbits the Earth. It is not as detailed as Google Earth, but it does update every 16 days.