From my experience of an induction programme, you are not missing out on that much really! I would love the chance to actually get on with my research without having to bugger off to silly talks every day!
Seriously though, i think you should have a chat with your supervisor or maybe others in your lab just to say that you are not really sure what you are meant to be doing etc and are not comfortable being chucked in at the deep end! And if you are not having an induction, make sure you get out and meet other PhD students in your department. I reckon 3 years could be a very long time in isolation!!! Maybe you could see about organising a social or something to get everyone together in place of an induction?