Rinse the short-grain rice under cold water until the water runs clear.

In a medium saucepan over medium heat, mix the rinsed rice, whole milk, sugar, salt, and vanilla extract. Stir thoroughly to combine all ingredients.

Gradually heat the mixture until it gently simmers. Stir occasionally to prevent sticking.

Reduce the heat to low and simmer uncovered for 25-30 minutes, stirring frequently until the rice is tender.

Remove the saucepan from heat and allow the pudding to cool slightly; it will thicken as it cools.

Transfer the pudding to bowls and add toppings like cinnamon or fresh fruit if desired.