Broccoli does not affect gallbladder but if you eat too much broccoli at one time then you can get bloated stomach because broccoli contains fiber content which can cause bloating stomach. But if you eat enough vegetables like carrots, asparagus, cabbage etc then there will not any problem with your gallbladder. You may try drinking green tea instead because green tea contains caffeine which helps digestion process. And drinking plenty of fluids also helps digestion process.