Hi @mrli,
I am using ROOT v6.22/02 installed as a conda package on Linux. This correctly opens a TBrowser:
$ python
>>> from ROOT import TBrowser
>>> b = TBrowser()
What am I doing differently? Are you running the above code as a script? In that case, try running it as python -i script.py (note the -i option), that might help with problems with the GUI.