Assuming you are using Chrome please tap the menu button and then tap “Add to homescreen”. Note: you will have to close this pop up to access the browser toolbar with the share button. Read on an memorise the next steps 🙂
You’ll be able to enter a name for the shortcut and then Chrome will add it to your home screen.
The icon will appear on your home screen like any other app shortcut or widget, so you can drag it around and put it wherever you like.