Comment by weeb
You can do "see only current branch" with the little filter icon when you hover next to a branch. Although I do find myself getting lost amongst branches more easily compared to Sourcetree, I think there's some difference in how filters are combined that isn't ideal (but I can't remember specifics)
You can also go to View in the menu and click "Filter by active branch" (Ctrl+Shift+A).
Also if you, like me, wanted to blame or view history for specific files there does not seem to be a way by clicking in the GUI to achieve it. But by using Ctrl+P you get the command search and can search for "Blame" or "File history".