If you tell us what browser you are using we may be able to tell you how to make Google or any page your home page.
Let us take Firefox.
Open your Firefox browser
In the Search bar at the top on the right, type in Google and click the search button (the icon of a magnifying glass)
Here is what you might see. In this case the first link is to google.ca (where the search originated)
Click the first link to see something like this
This is the actual (current page). If this what you want as your home page, do not enter any search keyword and let the page remain the current one.
Now look at the menu bar at the top of the Firefox window for the TOOLS menu. Click Tools, ad locate submenu OPTIONS
Click the OPTIONS submenu. A tabbed window opens. Click the GENERAL tab. This is what you see.
You see the three buttons Use Current Page, Use Bookmark..., Restore Default.
Now since the Google page is your current page (in the browser) click the button Use Current page and click the OK button at the bottom.
The Use Bookmark... gives you an alternative to selecting the Home Page. You could bookmark a specific page that you discovered while browsing and use it at a home page.
If anything goes wrong, you can still restore the default home page, probably chosen by the manufacturer.