The advantage of a one-to-one lesson is that nothing is aimed at an average student. Every correction is aimed at you. The cost of that is that the lesson goes exactly as far as your preparation allows — there is no class to hide in and no group pace to carry you.
Arrive with the previous lesson's material ready to recite. If the first ten minutes are spent rebuilding what was covered last time, you have spent a quarter of your lesson on revision you could have done alone for free. Teachers plan the next step assuming the last one held.
Keep a written list of the things you got wrong. Not a general sense of having struggled — the specific letter, the specific word, the specific rule. A teacher can fix a named problem in two minutes and will otherwise spend ten finding it.
Ask when you do not understand, immediately, even mid-sentence. This is the single biggest difference between students who progress quickly and students who do not, and it is a habit rather than a personality trait. A private lesson is the one setting where interrupting is actively useful.
Sort out the practical side once, properly, so it never costs you lesson time again: a quiet room, headphones with a microphone, a wired connection if you can get one, and the page open before the session starts. Audio quality is not a comfort issue in a subject built on hearing small distinctions — a teacher who cannot hear the difference between your seen and your sad cannot teach you tajweed.
And finish by asking what to practise before the next lesson. A specific instruction is worth far more than a general intention to work hard.