Most people's home page is google.com. My homepage is just a custom html page hosted on my computer. I do this because I am a web developer, and I have several projects that I work on a one time, so I like to have quick links to all of them. On that page I usually just have a Link to google.com for when I want to search. But below all of my quick links, I want to add a google search box (with Autocompletions). I first used a simple iframe to embed google.com into the page, but then my search results were confined to that iframe. I wanted to search for something, then my results would open in a new tab. I then came across this code snippet but it doesn't have Autocompletions:

http://www.refactory.org/s/google_search/view/2

How can I add Autocompletions to this? Or is there a better way of doing it? Thanks in advance for any advice