After the kabbalat panim receptions comes the badeken, the veiling ceremony. A procession headed by the groom goes to the bridal reception room, where the groom covers the bride's face with a veil.
The custom of covering the bride's face with a veil originated with our matriarch Rebecca, who covered her face when meeting her groom, Isaac.
The veil emphasizes that the groom is not solely interested in the bride's external beauty, which fades with time, but rather in her inner beauty which she will never lose. It also emphasizes the innate modesty that is a hallmark of the Jewish woman. The bride's face remains veiled for the duration of the chupah ceremony, affording her privacy at this holy time.
After the groom veils the bride, the parents of the bride and groom approach the bride and bless her. The groom's entourage then retreats from the room. The bride and groom proceed with their chupah preparations and everyone else continues to the site of the chupah, the marriage canopy.
For more detailed coverage of this subject, see Badeken -- Veiling in our Wedding Handbook.