The Collaborative International Dictionary of English v.0.48:

Browse \Browse\, v. t. [imp. & p. p. Browsed (brouzd); p. pr.
   & vb. n. Browsing.] [For broust, OF. brouster, bruster, F.
   brouter. See Browse, n., and cf. Brut.]
   1. To eat or nibble off, as the tender branches of trees,
      shrubs, etc.; -- said of cattle, sheep, deer, and some
      other animals.
      [1913 Webster]

            Yes, like the stag, when snow the plasture sheets,
            The barks of trees thou browsedst.    --Shak.
      [1913 Webster]

   2. To feed on, as pasture; to pasture on; to graze.
      [1913 Webster]

            Fields . . . browsed by deep-uddered kine.
                                                  --Tennyson.
      [1913 Webster]

   3. To look casually through (a book, books, or a set of
      documents), reading those parts which arouse one's
      interest. Contrasted with scan, in which one typically
      is searching for something specific.
      [PJC]

   3. (Computers) To look at a series of electronic documents on
      a computer screen by means of a browser[2].
      [PJC]

The Collaborative International Dictionary of English v.0.48:

Browse \Browse\ (brouz), n. [OF. brost, broust, sprout, shoot,
   F. brout browse, browsewood, prob. fr. OHG. burst, G. borste,
   bristle; cf. also Armor. brousta to browse. See Bristle,
   n., Brush, n.]
   The tender branches or twigs of trees and shrubs, fit for the
   food of cattle and other animals; green food. --Spenser.
   [1913 Webster]

         Sheep, goats, and oxen, and the nobler steed,
         On browse, and corn, and flowery meadows feed.
                                                  --Dryden.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Browse \Browse\ (brouz), v. i.
   1. To feed on the tender branches or shoots of shrubs or
      trees, as do cattle, sheep, and deer.
      [1913 Webster]

   2. To pasture; to feed; to nibble; to graze. --Shak.
      [1913 Webster]

   3. To look casually through a book, books, or a set of
      documents, reading those parts which arouse one's
      interest.
      [PJC]

   4. To search through a group of items to find something, not
      previously specified, which may be of interest.
      [PJC]

WordNet (r) 3.0 (2006):

browse
    n 1: vegetation (such as young shoots, twigs, and leaves) that
         is suitable for animals to eat; "a deer needs to eat twenty
         pounds of browse every day"
    2: reading superficially or at random [syn: browse,
       browsing]
    3: the act of feeding by continual nibbling [syn: browse,
       browsing]
    v 1: shop around; not necessarily buying; "I don't need help,
         I'm just browsing" [syn: shop, browse]
    2: feed as in a meadow or pasture; "the herd was grazing" [syn:
       crop, browse, graze, range, pasture]
    3: look around casually and randomly, without seeking anything
       in particular; "browse a computer directory"; "surf the
       internet or the world wide web" [syn: browse, surf]
    4: eat lightly, try different dishes; "There was so much food at
       the party that we quickly got sated just by browsing" [syn:
       browse, graze]