Should I peel kiwifruit?
It is perfectly safe to eat the peel in and of itself. You will need to make sure that you wash it properly, as it may be dirty. But beyond that, it's simply a matter of taste. A lot of people don't like the flavor / texture of the peel and so remove it. 

From a site devoted to kiwis:


  Kiwi fruit skin is definitely edible,
  and there's a lot of different
  theories about eating it.
  
  Kiwi fruit skin contains high levels
  of flavonoids, insoluble fiber and
  antioxidants: these substances all
  have a beneficial effect on your
  body's metabolic functions (flavonoids
  and antioxidants) and on your
  digestive system and cardiovascular
  apparatus (insoluble fiber).
  
  Common sense, however, should be
  practiced in this respect: while raw
  kiwi fruit skin contains these
  beneficial substances, it also tends
  to contain more than 99,95% of of the
  pesticides in that particular fruit
  (if they have been used), which
  largely outweighs the benefits from
  flavonoids and antioxidants.