This announcement in Microsoft’s Inside Windows Live blog does not mention anything about mobile browsers.
However, several modern mobile browsers like the ones provided with Android and iOS (iPhone and iPad) devices are HTML5 compliant. And, although Microsoft’s Windows Phone browser is not HTML5 compliant, it is a reasonably good mobile browser. So, I took point my various mobile browsers at SkyDrive.com and found that the site is mobile friendly and works well.
You can see in the photo of a Windows Phone device here that SkyDrive photo folders look as you might expect. I repeated the process on an iPad and found the same good experience there too. Even slide shows of photos stored in SkyDrive worked.
Microsoft SkyDrive provides 25GB of cloud storage for free. So, it was quite a deal even before it became HTML5-compliant and mobile browser friendly. It is now an even better deal for mobile users.