S.E.
Read what Dawn said carefully. Print it out and give it to your cousin!
The computer was my life saver during bed rest. Almost 5 weeks and I went from working full time executive job plus mentoring after work to dead stop. It was VERY hard on my emotions. But, it is extremely important that your cousin grasp the life long impact this can have. A couple of weeks of boredom is nothing compared to the life long impact those extra weeks in her womb can do for her baby!
There are bed rest support web sites. I watched movies, I chatted on line, I wrote thank you cards for my baby shower, I chatted on line. At one point I was not allowed to sit upright so I listened to books. I felt horrible and hopeful all at once. I tried to focus on the fact I was "sacrificing" for the benefit of my baby. (When I look back I think laying in bed is sacrifice? But, at the time I felt like a prisoner. If it is your first child it is a shocking shift in your mind to totally focusing your world on the needs of another person you haven't even met yet.)
My daughter was born at 5 lbs 2 oz. She struggled some initially and is still prone to getting ill more than her sister, but she's doing great.
My sister's baby was born at 4lbs 6 oz and was in intensive care her entire first year of life. She spent the year between one and two living in a rehab. It was horrible and heart breaking for her mother, but she just graduated from college last year and is getting married in the spring! A child the doctors told my sister to institutionalize, that they said would never walk or understand.... So think positive! Support your cousin in whatever way you can! Food, housework, whatever, simply visiting would probably be great.
Oh, yeah, I couldn't even bathe for a while and my sister found all of this stuff they use in nursing homes to keep your hair clean and it was a HUGE morale boost for me. I also got a shower chair so I could bathe once a week....
Good luck!