Yes! You can share your Monogram over the web with a link. People who visit the link will see your Monogram as you intended on any device. If you like, you can also link to your Monogram on Twitter, Facebook, your own website, or elsewhere.
To access the share link, tap Share on your Monogram, which will show you the link you can copy for your Monogram. You will need to create an account before you can share, but the app will guide you on this if you have not created one yet.