The Breaking Bad star's proposal was made public via a posting on production company CEO Parsekian's Facebook page.
"I'm so happy and excited and honoured to share my life with the most amazing man on the planet," the 24-year-old wrote after changing her relationship status to 'engaged'.
Paul is said to have proposed while the couple vacationed in Paris over the New Year's holiday.
Parsekian's mother, Debra Kelly Parsekian, responded via a comment on the social networking site, writing: "Dearest Lauren, we love you so much and couldn't be more thrilled that you have found your perfect soul mate. We love Aaron and his family, and feel blessed that this will be a perfect union.
"Just being around the two of you in love is an inspiration to us all. We look forward to the future and all the happiness it will bring."
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