<BREP> GO on your terminal and ask.
Though if you have just the terminal then the answer is most likely no. They allow you to publish charts but they consider using an excel sheet that was populated with data from a terminal on another machine to be a violation of the terminal agreement.
If you use their B-PIPE, then the license is a bit more liberal, data can leave the terminal machine but is still only eligible for use within the firm and you can't store it in a database or other storage mechanism. Though I think this is probably the most broken rule in finance. Just slightly above, make sure you have borrow before you issue a short order:)
Market data especially won't be redistrubutable as you have a contract with both Bloomberg and the exchange for market data, and exchanges aren't really known for their "liberal" distribution policies:)