When a person assumes the state of Ihram there are certain things/acts that are not allowed in Ihraam which are permissible otherwise (i.e. outside the state of Ihram). The restrictions of Ihram during Umrah are as follows:
It is permissible for a woman pilgrim to wear socks and shoes, because her feet are ‘Awrah (private parts of the body that must be covered in public). However, she is not permitted to wear a face veil or gloves since the Messenger of Allah (pbuh) forbade the pilgrim women from doing so, but she can cover her face and hands in any other way.
Male pilgrims are not allowed to wear sewn clothes or to cover their head in the state of Ihram. However, they can use an umbrella to avoid the heat of the sun or they can carry their stuff on head.
The pilgrims come out of Ihram only after completing all the rituals of Umrah after performing Qasr i.e. shaving of the head or clipping of hair. All the restrictions / limitations of Ihram are lifted after the Qasr except physical contact with wife, which is only permissible after performing Tawaf-ul-Ifadah. For more information click here.
Note: It is recommended to consult and seek an opinion from scholars on doubtful Islamic matters.