When you use two-weapon fighting, can you draw and throw two weapons on your turn?

You can throw two weapons with two-weapon fighting (PH, 195), but that rule doesn’t give you the ability to draw two weapons for free. On your turn, you can interact with one object for free, either during your move or during an action (PH, 190). One of the most common object interactions is drawing or stowing a weapon. Interacting with a second object on the same turn requires an action. You need a feature like the Dual Wielder feat to draw or stow a second weapon for free.