The answer is yes. Mormons are devout Christians and celebrate Christmas and Easter with the rest of the Christian world. It should be noted that The Church of Jesus Christ of Latter-day Saints is an international church, and that there are currently more members outside the United States than in it. Both of these important Christian holidays are celebrated uniquely in every country. For instance, the Eastern Orthodox Christmas is celebrated later than December 25th, so Mormons living in Greece or Cyprus will celebrate Christmas in January. Mormons celebrate the birth of Christ on Christmas and the resurrection of Christ on Easter in all locations.
Mormons celebrate birthdays with parties, recognition, and gifts. However, some countries celebrate “name days” instead of birthdays, and Mormons follow cultural traditions in those countries.