Most of Europe has now aligned with the Bachelor-Master system now (called the Bologna Process). If you studied before 2005 in France you would have indeed been in the older system. In the old French system, a DEUG/BTS/DUT is highshcool, a License or Diplome de Grandes Ecoles is Bachelor (unless a Diplome de Grade de Master, then its a Master), Maitrise is also considered a Bachelor although there is still contention on that one, a DESS/DEA is Master and Doctorat or Grade de Docteur is the same as the PhD in the US system.
I work in international higher education, so I deal with this all the time.