Veuillez me raconter votre histoire.

English Translation

Please tell me your story.

Please tell me your story. Veuillez = Vouloir. So it’s basically “You (formal) would like to tell me your story”, right? How demanding!

Please note that it’s the subjunctive, not the conditional (voudriez), which makes it a very polite, formal request.

(Not a native speaker.)