Cardano is a decentralized public proof-of-stake blockchain that enables the execution of smart contracts. In layman's terms, this just means that Cardano, just like Ethereum, is a globally accessible, decentralized system that anyone can access and run code, known as smart contracts, on.
Cardano is a proof-of-stake blockchain, which just means that when smart contracts are executed, instead of being run and validated by a third party such as Amazon Web Services, they are validated by stakeholders, or people who hold ADA, which is Cardano's cryptocurrency.
ADA is used to transact on the Cardano blockchain as well as pay for the execution and validation of smart contracts.