There are three important aspects of tutoring: initial design, day-to-day, and student to tutor rapport.
The first meeting is an assessment where we develop a study schedule and talk about the students needs in order to achieve the goals they set. It's important to allow the student to design the goals with as little aid from the tutor as possible. Allowing the student to set the goals is important since it teaches students time management, something that will serve them well beyond the bounds of the class or classes. Once achievable goals are set, the tutor and student create a Gantt chart or a visual representation of the tasks to achieve their end goal. This visual aid should be updated as much as possible, so they can track their progress and continue to stay focused on the end goal.
Regular meetings are important to help the student keep on track of their goal, and to help the student learn in areas they are struggling in. I prefer in person meetings, because they allow for better understanding of one another, and they make the experience more real. I cannot think of anyone who would rather have a video conference over meeting in person! It's important for the tutor to be prepared for these meetings, and bring adequate material to have for the entire duration of the meeting. Extra material from outside books on the subject matter is a great starting place, and many of the older editions of the same book can be available online for very cheap or even free. These allow adequate practice and get the student into a proper rhythm.
A good relationship between the student and tutor is one of the most important aspects. Simply put, if the students like you and enjoy your company, they will enjoy learning the material and will be excited to come prepared and learn from you. You're the guide from the side, NOT the sage on the stage. Be friendly, enthusiastic, and assertive, you're in this together afterall! Add some humor into the lesson. Learning from someone who is a little funny or witty will be far more memorable than learning from someone who is a total snooze.
If you don't know the answer to something SHOW them how to find it, google, a text book, etc... Learning is a lifelong process, no matter how terrible that cliche is. Show them the positives of learning and how much it has impacted your life and you will make them a believer about education and studying, traits that are far more important than individual classes.