The document discusses two main uses of apostrophes: forming contractions and showing possession. It provides examples of common contractions like don't and wouldn't which show where letters have been omitted. For possession, an apostrophe is added to the end of a noun to show it belongs to someone, like John's car. There are two rules for forming possessives - add only an apostrophe if the noun already ends in s, otherwise add 's. The document also briefly mentions a few other less common uses of apostrophes.