as zasad@ said that Ethereum 1.0 and Ethereum 2.0 has different network so it could have different coin as we know today and then recently I found trading pair ETH2/ETH on kucoin excange, (not yet found official statement from ETH team about this)
https://trade.kucoin.com/ETH2-ETHThis is speculation in futures.
Only after the start of phase 1 will you be able to create a wallet on the Ethereum 2.0 network and send transactions. Perhaps then the Eth1-Eth2 bridge will be created.
For those who do not follow Ethereum, I will say that the launch of phase 0 did not make any changes for the Ethereum 1.0 network. This event only affected the price of the coin.
Stay tuned for news and launches of other phases, phase 1 is promised to launch in 2012.