I'm lost! I've been using Windows computers for just over 20 years and I've never had an 'Internet' or 'Google' icon! So it's a bit hard for me to make sense of your question. (I suspect that others will be equally confused too).
However if you've normally got an icon on your desktop which opens your web browser (be that Internet Explorer, Edge, Firefox, Chrome or anything else), and it's disappeared, then it's dead easy to get it back again:
Click on the Start button, then on 'All Programs' and look through the list of programs for whichever browser it is that you use. RIGHT-click on it and select 'Send To > Desktop (Create Shortcut)'. That will put an icon for the program onto your desktop.
If you want to have icons on your desktop which will take you directly to different websites (such as Google, AB, BBC News or whatever), open your web browser and go to a relevant site. Reduce the size of your browser's window by clicking on the overlapping squares at the top right of it. Then click on the little icon just to the left of your browser's address bar and drag it onto your desktop. (If you want to rename your new icon to 'News', 'Google' or whatever, right-click on it, select 'Properties', click on the 'General' tab, edit the name and click 'OK').