I teach worldwide via skype and one thing I have always asked the student to do is to use headphones..your built in webcam should work- but for a minimal investment you could buy an HD wide angle camera. several of my students have these and love them
in additions to a great camera, I use separate Neve pres for my bass and also external Senn mic...you of course don't have to go to this extreme but my students love the quality.
Skype is a wonderful educational platform and growing too! It is a real boon to bassist who live in locations where good quality instruction is hard to come by. As a session player in Nashville, I teach real world skills to players.. www.bassmentoring.com www.stevebryantbassguitar.com
Best and good luck!