A perfectly clean sensor is the goal, so spots aren’t really “normal” in the sense that they shouldn’t be there—but they are very common in real use.

If you still see a few marks after cleaning, that isn’t unusual. The spots in your example may be oil rather than plain dust, and oil spots often respond better to proper wet cleaning than to air or brushing alone.

In practice, many photographers don’t worry about tiny spots unless they become obvious in real photos or too time-consuming to retouch. A blower can help as routine maintenance, but if repeated cleaning still leaves noticeable spots, a professional sensor cleaning is a sensible next step.

So: not ideal, but common. If the spots are only visible when you go looking for them, it may be acceptable. If they keep showing up in normal shooting and editing becomes a hassle, get it professionally cleaned.