Currently available in both Edge Dev and Canary builds and coming soon to production, is a new feature to be able easily share web links. See https://techcommunity.microsoft.com/t5/articles/quickly-share-links-with-yourself-or-others-with-the-new-share/m-p/2511813 (https://techcommunity.microsoft.com/t5/articles/quickly-share-links-with-yourself-or-others-with-the-new-share/m-p/2511813).
Note: If the share button doesn't show up on your toolbar, go to Settings - Appearance and scroll down to the "Select which buttons to show on the toolbar" section to turn it on.