A reported question which is not even a question

A reported question is a sentence that refers to a question. Sometimes the report will explicitly use a word like "asked" to refer to the original question, as in your first example "The driver asked ...".

But the question can also be implicit. You're describing a state of mind where some condition is in question.

I'm not sure if I'll see her tomorrow.

corresponds to the question

Will I see her tomorrow?

If you want to see it in the first form, it's similar to saying:

I'm asking myself if I'll see her tomorrow.