I am a little confused when you say ordinary Google. Do you mean the Google search page which comes up on your screen when you open Internet Explorer.
Google Chrome is different; it's a Browser which you can have in your computer as well as Internet Explorer. In fact you can have as many Browsers as you wish to have and, if you don't want a particular one which has been downloaded, you can easily remove it. In fact I did have Opera as one of mine but didn't like it and got rid of it; which has left me with Firefox, Internet Explorer, Google Chrome and Safari. At the moment I am using FF Beta13 as my default Browser.
Ron.