Cool. It's a bit hipstery but that's not necessarily a bad thing. It reminds me of other famous-surnames-turned-girls-names, like Dante and Bronte.
If I were being cheesy, I'd say Monet Claudette. I'd probably like middle names more like... Pauline, Colleen, Cassandra, Antoinette, Gabriella, Ophelie, Adelaide, Abigail, Beatrice, Beatrix, Bianca, Coraline, Calanthe, Hermione, Colombe, Lisette... basically anything that's elegant and not too common (and not too mature-sounding; I think Monet could pull off the little-girl vibe well but not if it has a middle name like Eleanor). I could also see it working with shorter mns like Alice, Alys / Alyse, Lea, Lianne, Emilie, Surya, Siobhan, Dunya, Charis, or Cecily / Cecile.