English translation: He took special French private classes/ lessons.
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He took individual (or "one-on-one") private French classes
Explanation: I agree with Neil's answer above. Although, I would be more likely to use "one-on-one" as opposed to "one-to-one". I think that "one-on-one" private French classes would fit here. I found references on a couple of English language school sites for the "modalidade VIP". I've included one below. Thanks!