If you are on a MusicBrainz edit page you have a number of ways to navigate directly to the page of the entity you’re editing which can be useful for opening it in a new tab to check something about the current data, or for following other links from there (e.g. to releases or annotation or something else). (MB’s tabs will also allow for directly navigating to a number of other entity-related pages other than the main one, but that’s not really relevant for BB just yet.)

Currently there is no way (that I have been able to locate) to do this from the BookBrainz editing page and I feel there should be.