If you have installed blurweb.app or any other chrome extension from Chrome web store then it will autoupdate. You don't need to worry checking the current version and update extension manualy.

How to find out the latest version of an extension?

Open Chrome Extension Store page in the Chrome web store, you will be able to see the version in the Additional Information Section

How to check the chrome extension version currently installed?

The quickest way is to copy chrome://extensions/ and paste it in the url bar. And find the extension. Or follow the gif above