First of all, the word "resume" is confusing, because in French, that word means "summary." When Americans talk adout a resume they mean what we call a CV, or curriculum vitae. Resumes in France are not all formatted the same way, but they do include similar information - your name, of course, and also your age, your marital status, how many children you have, and how old they are. We also attach a photo to the resume.
Then we describe previous job experience and education, though we only give the higheat degree that we earned. We also list any special skills or training. It's important to be really honest about your abilities, though ! I've heard that Americans sometime exaggerate a little on their resumes, and that's Ok in America, but it wouldn't be a good idea in France. Your resume shouldn't be longer than two pages, so it's important to select the most important things.