Yes, the UPF level should be on the umbrella you purchase. Some are double lined and made specifically for UV protection. "Totes" has a good variety online an in stores.
No sun umbrellas do not exist. Umbrellas are used for the rain or sun. The best protection from the UV rays is sunscreen. So please be sure to use sunscreen 15 minutes before going into the sun.
Yes. Sun Umbrellas are available in many materials, many of which reduce and/or block UV rays. Reflected or refracted light not directly from the sun may still reach you.