This lesson shows how Vue's v-model works with checkboxes. When a user clicks a checkbox, Vue checks if it is checked or unchecked. If checked, Vue adds the checkbox's value to the bound array. If unchecked, Vue removes that value. The array always holds the current selected values. The UI updates to show the selected array. This is useful for multiple selections. The example uses two checkboxes for 'apple' and 'banana'. The variable 'selected' starts empty. Clicking 'apple' adds 'apple' to the array. Clicking 'banana' adds 'banana'. Unchecking removes values accordingly. This keeps the array in sync with the checkboxes.