Yesterday, I had a kidney stone. The next day, I still often have the sensation of needing to urinate without pain. Is this normal?

Yes, it is normal to still have the sensation of needing to urinate frequently after passing a kidney stone. This is because the stone may have caused some damage to the urinary tract. This sensation may last for a few days but usually resolves on its own. If the feeling persists into next week, it would be a good idea to seek further medical advice.