If you have the space, a full-size Bluetooth keyboard works much better. The Logitech PS3 one maps the Playstation buttons to designated keys as well.
In-game web browsing is already used in several PS3 applications, including Xi in Home (for looking up clues in ARG). I guess in-game Internet Search -- assuming the rumor is true -- would activate the icon in in-game XMB.
I actually already have that Logitech Bluetooth Keyboard. I love it
But it would be easier in-game to use something already on the controller than pick up one, drop the other, pick the other up, drop, etc etc.