How can I run Chrome without all browser's controls (tabs, address line, buttons)?

Run it with the "--kiosk" switch:-

"C:\Program Files\Google\Chrome\Application\chrome.exe"  --kiosk

or wherever else it might be installed.

You can open the webpage as an app. To find out how to do so, search a search engine for "open chrome webpage as app" and follow the instructions. I could paste the instructions here, but once you know how to search for it, it's pretty easy.