In general, it is free to open an ADA wallet. There are several options available for storing and managing ADA, including both hardware wallets and software wallets. Many of these wallets can be obtained without any upfront cost.
However, it's important to note that while the wallet itself may be free, there may be transaction fees associated with sending or receiving ADA. These fees are typically paid to the Cardano network to validate and process transactions. The fee amount can vary depending on network conditions and the size of the transaction.