If you have a website URL that you wish to add as an app that directly launches the browser, you can follow these steps.
First launch Safari and navigate to the website that you would like to bookmark. Here you can tap on the "share" symbol on the top right.
In here you will need to tap on Add to Home Screen.
Before adding the link as an icon, you can rename it. Once you are done, tap on Add.
The app will now appear on your homescreen and you can move it around by tapping and holding the app.