Since the first part of the sentence says that, failing conciliation, the ordinary courts of Geneva shall have exclusive jurisdiction, I imagine that the author(s) deemed useful to specify that this choice-of-jurisdiction clause applies in the first instance, and should not be taken as precluding any appeal from the judgment in the first instance, in accordance with Swiss procedural law.

For info on the Tribunal fédéral (Suisse), see http://fr.wikipedia.org/wiki/Tribunal_fédéral_(Suisse)#_note...