We're not the only ones to wonder if she worked as an escort:
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My opinion is that she wasn't an escort. Part of the reason for my opinion is high-class escorts have to be discreet and amenable, which Alice isn't. I have no doubt she was wined and dined and dated lots of rich men with connections, but I can't see an actual escorting situation happening. A mutually beneficial relationship? Yes. But her being an escort, and all that entails? No.
I think she got where she did in Paris because she was very good at speaking French, and was beautiful and charming. It's also always easier for foreign people to come over and make it in a city as they have the novelty about being foreign and new to them.
I think she was lucky to meet Olivier, and they had a mutually beneficial bearding situation which lasted for several years. I think it was after she met Olivier that her acting career in France started, and she's not bad at all in the French TV series I've seen her in (Elisa Top Model).