Yes, student needs to pay
If the lesson is held around the Marunouchi line the student doesn't have to pay the transportation fee. if it's around the JR Chuo Sobu line, the fee will be up to 600 yen.
The online lesson is the same as if we are in face to face. we begin with a simple conversation to practice natural conversation and then I divide the time to study vocabulary and grammar. Depending on what the student wants to work on I can adapt my lesson.
French & English lesson:
depending on the student level I will prepare personal content. I usually divided my lesson into 4 which are, conversation, vocabulary, grammar, and questions. I like to make feel my student comfortable, talking about easy topics or daily topics that native speakers use to talk about.
Students can bring or use their own material depending on what they need. if it's free for me to proceed, I'll use my own content.
About homework:
English: helping understanding the language and improving the level to pass examination or others.
French: for those studying in the french High school in Tokyo I can assist your child with philosophy, history, geography...