It's the second trophy of the year for Garcia, along with one at the grass-court Bad Homburg Open, which was her first title in three years.
The French player could rely more on her serve in her 12th career final. Garcia won 72% of her first-service points, compared to 47% by Bogdan, who was playing in her first final.
The former fourth-ranked Garcia has won 18 of her past 21 matches.
In Warsaw, she upset top-ranked Iga Swiatek in the quarterfinals, ending her clay-court winning streak at 18 matches.
With the victory, Garcia improved to 2-0 against her Romanian opponent.