This video has been on the Carrier Alliance website since 2009 so it's by no means new. It's still a pretty impressive use of CGI though, as indeed was the animation of the entire carrier build process.
Since then, video taken aboard the USS Wasp has provided more accurate imagery of what the real aircraft looks like when taking off from a flat deck and then recovering vertically.
To my knowledge, the F-35B has yet to take off using a ski-jump although one exists at NAS Lakehurst for trials purposes.