NO, it is not finished.
The anime finished after the manga:
Anime finished: September 03, 1980
Manga finished: December 08, 1973
... But MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
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Versailles no Bara tells the story of Marie Antoinette, an Austrian princess sent to France to marry the future King Louis XVI, a political move meant to solidify the alliance between their nations.
Discontent with her arranged marriage and life at court, Marie Antoinette encounters Oscar François de Jarjayes, a woman raised as a man and serving as the Commander of the Royal Guard.
Oscar, struggling with her assigned role and longing to embrace her true identity, is tasked with protecting the young queen.
As Oscar serves Marie Antoinette, she witnesses the growing disparity between the opulent lives of the royalty and the suffering of the common people, leading her to question her loyalties and the societal structures of 18th-century France.