Apps which want to support this would add a 'stream to chromecast' button which would use the Chromecast android/iOS API. (https://developers.google.com/cast/)
It seems to not be possible to stream the web browser from a mobile for now - all the mobile apps in the demo (netflix, google video, youtube) triggered a video download straight to the dongle from the internet, with the mobile effectively being used just as a remote. That's the primary use case. The 'stream a web page a browserdirectly from your computer' bit is still in beta and, AFAICS, currently only works with chrome on Windows/MacOS/chromeOS.
But it's possible it'll be added in future to chrome for iOS/android, and if it is: yes, you'll need to use chrome, the chances of Apple supporting chromecast in safari are... slim.
It seems to not be possible to stream the web browser from a mobile for now - all the mobile apps in the demo (netflix, google video, youtube) triggered a video download straight to the dongle from the internet, with the mobile effectively being used just as a remote. That's the primary use case. The 'stream a web page a browserdirectly from your computer' bit is still in beta and, AFAICS, currently only works with chrome on Windows/MacOS/chromeOS.
But it's possible it'll be added in future to chrome for iOS/android, and if it is: yes, you'll need to use chrome, the chances of Apple supporting chromecast in safari are... slim.