If the moon rotated on it's axis as fast as earth would we always see the same side?

No, if the Moon rotated on its axis as fast as Earth, we would not always see the same side. The Moon is currently in synchronous rotation with Earth, meaning it takes the same time to rotate on its axis as it does to orbit Earth, resulting in the same side always facing us. If its rotation speed matched Earth's, we would see different sides of the Moon over time, similar to how we see different parts of Earth as it rotates.