Taylor LOVES to sign autographs! Make sure to get in line very EARLY! She also signs for like three hours after some of her concerts.
Buy tickets to her shows. Make sure to buy them right when they come out or preorder them, because they sell FAST! This will probably be your best oppurtunity to meet Taylor.
Be on the lookout for announcements in your local radio stations for chances to meet Taylor.
You can also look onto her website to see if she has any special backstage passes.
You can also try commenting her on Myspace. Many people have said that she does write back.
You can request an autograph. Send your letters to this adress:
Taylor Swift
c/o Taylor Swift Entertainment
242 West Main Street
PMB 412
Hendersonville, TN 37075
USA
You will have to wait at least three months for a response.