jiggly,
Consider EUR/USD in the past couple of years. You can say EUR was in a bull market. You can also say USD was in a bear market. It is a bull market for EUR and a bear market in USD.
Thus, Bull or Bear -- which are terms borrowed from the stock market -- depend on which side you are on. On the contrary, in stock market a bull market is defined as one where prices keep on rising. It is the long side only, it does not matter whether you are a buyer or a seller.
Bull or bear are stock market concepts which make no sense in forex. Trending market makes sense, of course.