Hi Elisa,
I don't believe the same Version Changes functionality exists for Branch Versioning. If you need to see changes between a child version and the Default version that are not conflicting, you'll need to view those changes in the map view or the attribute table in Pro.
Branch versioning does define conflicts at the row level by default which should give more conflicts to review. Edits to the same row or feature will cause a conflict. Conflicts are also resolved in favor of the edit version.
I searched the ArcGIS Ideas site to see if this idea had been posted yet. I was not able to find one. I'd suggest you create a new idea for this if you need the functionality. That site is actively reviewed by our Development teams when deciding on new functionality to add to the software.
https://community.esri.com/community/arcgis-ideas
Jonathan