Registering, buying and selling Monero is completely free. LocalMonero users who create advertisements are charged a 1% fee for every completed trade.
Monero transaction fees
Transactions to wallets of other LocalMonero users are free. Transactions to other Monero wallets are subject to the Monero network transaction fee. The current fee is visible on the wallet page under the heading Outgoing Monero Fees. The transaction fee is paid from your LocalMonero wallet when you send a transaction.