Yes, student needs to pay
Transportation costs and transportation time are negotiable. If a convenient time and place can be arranged then there will be no charge.
For online lessons I usually use Skype which I have found to be easy and reliable. These days Line is popular and I use it both for audio and video. I have a Mac so I can also use their system as well. Method of payment is by bank transfer.
During my long stay in Japan I have had the pleasure to teach a very wide variety of students from beginner level to university professors preparing presentations. In my experience all students can gain success and achieve their desired goals if they make effort and use effective study techniques. I can help you to study English effectively so you can learn quickly without wasting time.
As well as English conversation I teach writing, both business and academic writing. For academic writers I have written a short booklet titled 'Write Your Paper in English' by David Paulson which you can find on Amazon Kindle.