This article explains how to open Facebook on Apple Watch running watchOS 5 and later. It also includes information on how to flag the email so you can easily find it for future reference, and for using the Messenger app.
How to Get Instagram and Facebook on Apple Watch
While there’s no Safari browser on your Apple Watch, the WebKit engine introduced in watchOS 5 lets you open a full web page when you tap a link in an email or text message. While these web pages won’t have all the functionality of your iPhone or laptop—meaning you won’t be able to watch YouTube videos—you can still consume most other content from Facebook. In fact, Facebook automatically formats itself for the Apple Watch screen, so you’ll be surprised how easy it is to read updates.
Compose an email to yourself. In the body of the email, put the following on a separate line: https://www.facebook.com
Send the email to an account you have set up for the Mail app on your iPhone. This will allow you to read the email on your Apple Watch.