We are working in revamping the whole configuration inteface and some of the cakes that are already in the oven are the Project and Repository Dashboard with most of this information.
We know that the git navigation interface looks old and we are working hard to modernize it, but you can already navigate the branches and tree structure from the left panel, and compare tags, blame, view last commits, etc. in the right panel after selecting a reference in the repo tree.
Another option for clone url and repository navigation is from the topics. As soon as you transition a changeset (story, feature, bugfix or hotfix) to In Progress state, a branch will be created in the repository and attached to the topic itself. From the topic view you'll be able to navigate to the branch history, check commit diffs, add comments to the code (review) and a lot more functionalities. You'll also get the clone URL in the Branches box with a Copy button for each of the repositories affected by the changeset.
Anyway you'll see a lot of visual improvements in the next versions.