Update database to Drupal 6 to Drupal 7
You could migrate DB data with the Migrate module (though it's not very light module and has an individual learning curve, so if you are not a programmer, or not yet, it might be better for you to find a Drupal programmer that will help you run it). Otherwise, if the site is small (i.e has only several or about fifteen pages) I would suggest of building it from the start... In most cases it shouldn't take much time.. 

Blessings,