So does every cryptocurrency including bitcoin and altcoins have their own different type of blockchain?
Yes and No.
Yes, because every cryptocurrency executes its transaction with the help of blockchain.
No, because in crypto we have coin and token.
Coins are cryptocurrencies that have their own blockchain. An example is BTC, ETH, BNB, LTC, TRON, SOL, etc.
Token are cryptocurrencies that rely on another cryptocurrency blockchain it executes their transaction. An example is USDT, CAKE, UNI, etc.