Here's how you can download the Google Search app free for your iPad, iPhone, iPad mini or iPod Touch.
1. Go to the Google Search app preview page in iTunes (or tap the link on your iOS device to install the app directly).
2. Click the View in iTunes button.
3. Click the Free button to download the app.
4. Sync your iPad, iPhone, iPod Touch or iPad mini with iTunes to install the app.
Here's a description and screenshot:
"The Google Search app for iPhone, iPad, and iPod Touch.
Search the web faster and easier with the latest Search app from Google. Get new features available only in this app. Now, with streaming voice search."