First welcome to the forum.
Yes if you want to store your bitcoins you have to have a wallet. But here comes a question, now you gonna acquire your fist coins, buying, faucets, working for coins? If you are buying from Exchanges they also offer wallets like coinbase, binance, etc.
You have different alternatives, blockchain.info is a good start.
Check this useful thread >
https://bitcointalk.org/index.php?topic=1631151.0If you look around in this Beginners & Help section you will probably find a lot of information not only for wallets,but for most of the questions you have.
Good luck