Finding your current version
The current version of the application can be found in your profile menu dropdown. The version number is the last item in the menu (v0.0.0).

Get the latest version
To get the latest version of the app, you can simply refresh your browser window. If you think you still don't have the most up-to-date version, you can perform a hard-refresh (on Chrome: Command + Shift + R). You may need to look up how to perform a hard-refresh for your specific browser.
One sure-fire way of getting the latest app is to log out and log back in. Doing this will always force your browser to download the latest version.