To initiate a new asset transfer, click the "New Transaction" button in the sidemenu and choose "Send funds".
In the next step, you will be able to select the recipient. Either by choosing one of the addresses from the address book or by pasting a new address in the input field.
Proceed by choosing an asset that you would like to transfer to the recipient and the amount that should be sent.
Finally, you can review the details of your transfer and also modify the advanced transaction parameters (gas limit, etc.)
After clicking submit you will have to sign the transaction with your signer wallet. And depending on the threshold policy used, the transaction will either be executed right away or will require additional signatures from other signers of the Gnosis Safe account.