The transfer from Geneva to Lausanne can be done by train, bus, or car.
By train: Trains between Geneva and Lausanne run frequently and take about an hour. You can check the schedule and purchase tickets on the Swiss Federal Railways (SBB) website.
By bus: The bus service is operated by Transports Publics Genevois (TPG) and takes around 1 hour and 20 minutes.
By car: It is around 68km between Geneva and Lausanne, and it will take around 1 hour and 15 minutes to drive, depending on traffic conditions.