I think you'll see it come together from two separate places.
1. Standardization of browser event subscription by a remote host. This might happen via an HTML5+ ecmascript API in which scripts register user event callbacks. Think ACPI through JS. This requires aware applications but Google could make it a de facto standard.
2. In-browser identity management and single sign-on. This is necessary to achieve the seamless re-authentication to services. This may be in the form of a browser plugin that, like regularfry says, saves to cloud storage. I think we'll see browsers grow web-aware state APIs in the next 5 years as local and remote get blurrier and blurrier.
What do you think?