Hi Aranza,
Welcome to the Disney Parks Moms Panel! First and most important, running is never a good idea in the parks. One of the benefits of having an early breakfast reservation is you can enter the park just a bit early. When you approach the entrance of the Magic Kingdom, one entrance will have a Cast Member standing by to verify early dining reservations. With a 9:05am reservation, you are technically after park opening, but considering the time it takes to walk to
Be Our Guest Restaurant you will need a few extra minutes. I would plan to arrive at the entrance to the Magic Kingdom by 8:30am.
By entering early, you will miss the
Magic Kingdom Welcome Show in the front of the park. I love the morning show, but I think being able to take your time walking to the restaurant is a better idea. If you decide to wait and see the morning show, you will be walking directly to the restaurant instead of being able to take in the sights of the opening park.
Thank you for stopping by to ask your question. Please let us know if we can assist you with any other questions!
Wishing you a magical vacation,
Amy H