How can I effectively restore my garden that is overrun with weeds?

To effectively restore a garden overrun with weeds, start by removing the existing weeds by hand or using a weeding tool. Then, cultivate the soil to loosen it and remove any remaining weed roots. Add a layer of mulch to suppress weed growth and improve soil health. Finally, plant desired plants and regularly maintain the garden by weeding, watering, and fertilizing as needed.