You can make money on both the bull and bear market. The only difference between the two is that in the bull market the prices are very volatile and would require you to get in front of your monitor time by time.
Bear markets can be quite volatile as well depending on the stage of the bear market---the last part is always accompanied by low volatility due to the tightening range but that at the same time might be an excellent entry point.
The same can apply to bull markets whenever we hover below the all time high---the bull markets with insane volatility are those where the all time highs have been broken already (ie: 2013 and 2017 bull markets) with no resistance left.
Overall, volatility is quite subjective because your definition of high volatility might not align with mine or the rest of this forum. I find 5-10% moves quite volatile while others might consider these moves a joke.