Before you try to check for updates, be sure that your Chromebook is connected to WIFI.
Once that's done, here's what you'll need to do to both check for updates and install available updates:
1. Click the time, located in the bottom-right corner of the screen, to open a menu.
2. Click on the gear icon to open the Settings menu.
3. In the left sidebar, select "About Chrome OS.
4. If there's an update in progress, you'll see the option to restart your Chromebook once it's complete.
5. If it's not currently updating, click "Check for Updates" — if one is available, it will automatically download onto your Chromebook.
You'll be able to update and restart your computer right from this page.