While both the iPhone driver and Android driver that exist in the Selenium WebDriver source code repository today use a WebView control to browse the web, both projects have been largely deprecated. This deprecation is explicit in the case of the iPhone driver, and tacit in the case of the Android driver.
Those drivers have been supplanted by other projects like ios-driver, Selendroid, and Appium. These projects are based on the WebDriver project, using the same client API and communicate using the same JSON-over-HTTP-based wire protocol, but are capable of automating native and hybrid applications on mobile platforms. They can usually automate the application either on the device or in an emulator. In the case of each of the three projects I've mentioned, they are actively maintained and development is ongoing.