Google Search bar (searching the internet)

Hello,

I want to integrate a Google Search bar at my website.
But I do not want to seach content at my website but on the internet.
I found hundred of videos at youtube hoto integrate in website internal search using the code from google.com/cse. (google custom search)

But nowhere I found a solution creating a search bar like you at google.com. Does anybody know how to do this?

kind regards

Andreas