So the russians need experience first right?
Well they need a carrier design to be completed first and then scrutinised and checked for potential problems/issues, and then lots of discussion... physical scale modelling and computer modelling and likely a few rival bids as well.
Like I said before there is no point having a second carrier... even now as there is not enough support infrastructure and vessels to support two carriers at the moment.
When can i expect the beginning of a second aircraft carrier?
They likely wont start building a second carrier till 2022 at least, though they might lay two at once by then because by 2030 when they enter service the K might be ready to be put in reserve as a training carrier.
The shipyard is already there then right?
I suspect the new shipyard in Vladivostok will start with civilian ship production first... likely a few icebreaking LNG carriers or crude oil carriers able to sail the northern route.
When wil the bleuprints be ready?
Will they show them to the public?
Very unlikely to reveal the real blueprints any time soon... even after they are finished... likely a few photos of bits of carrier like we have with the current frigate program.