It is common to feel dizzy while wearing a pair of new glasses, especially when you get a new prescription, multifocal lens, and astigmatism. Even if your prescription and lens stay the same, the difference in the frame's shape and lens material can throw your eyes off. Under this situation, it usually takes one or two weeks to adjust to the new glasses.
Luckily, as your eyes begin to adjust to the new glasses, the dizzy feelings will be gone.