Yes, BROWSE is a Scrabble word!

Letter values in Scrabble US: B 3, R 1, O 1, W 4, S 1, E 1.

Is it a valid word?

BROWSE is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

vegetation (such as young shoots, twigs, and leaves) that is suitable for animals to eat
reading superficially or at random
the act of feeding by continual nibbling