As a part of bringing Android to VR, Google as well as other developers are adapting their apps for VR. Right now, few most popular developers already support VR for their apps.
Google is also working on the VR version of Youtube. Even though it is not out yet, they shared a screenshot of the upcoming version.
As you can see, it actually looks like the internet browser on the Gear VR. Even though it looks different than the regular YouTube, this UI allows users to navigate easily.