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Debpriya DeCan we reword this sentence as following :Yes. "What is it that you do..." emphasises the questioner's curiosity and the significance of the activity (the thing done).
What do you do that you cannot talk to us about ?
Debpriya DeIs the structure of the sentence like this : What is (it that you do) that you cannot talk to us about ?This isn't the way I picture the sentence working. I see it as: "(What is it that you do) that you cannot talk to us about?".
where the second relative clause refers to the entire noun equivalent inside the parentheses ?