How do you manage the wait for cataract surgery on the second eye without glasses?

I understand your concern. There are many ways to solve this. You can try a contact lens in your unoperated eye. You can remove the lens in your current pair of glasses for your first operated eye. You can also have your glasses temporarily updated to your current prescription, although most patients would not tolerate the difference between the two eyes.

Whatever you choose you will either be relying mostly on your unoperated eye with your prior prescription or your operated eye with either an updated prescription or none at all. None of these options will allow for good binocular (two-eyed) vision. You have to anticipate having some difficulties with activities of daily living during this time between the two cataract surgeries.