Google Mobile App is a free search application that combines Google services with the keypad on the bottom of the screen with text prediction to make finding thing easier.

Google Mobile App starts with a single text box to search through your contacts and the web. As soon as you start typing, it scours Google and offers, typing suggestions, website suggestions or easy access to a previous search .

Google Mobile App even searches when typing occurs so that  results are seen as soon as the typing is finished.
Over time, the App remembers the frequent tasks and nd puts them at the top. Finally, Google Mobile App also uses the My Location feature to detect the current location and show nearby businesses on a map. It also gives easy access to other Google Apps.

It is available for free in the IPhone App Store.