You need to be wary of this kind of information. If for example the source of your info was Realfarmacy.com or this kind of website, you can completely disregard it. Although they have been known to provide accurate and important information, this sort of site is also famous for publishing rumours without checking them. The internet is full of them.
I remember that one time when they posted a collection of 'irradiated vegetables from Fukushima' that showed grossly deformed, hugely overgrown veggies. It turned out that this series of pictures had been going around the net for longer than the Japanese nuclear disaster. Unfortunately, more people saw these and believed it than those who found out about the truth.
Organic certification varies between countries, with some standards being more stringent than others. It is sad that we live in a world where we need to proactively seek foods that have not been poisoned in some way. As Randy said, the only way to ensure chemical-free is to grow yourself. But even then are you able to perform a soil analysis? How about the water you use for your veggies?
Strive to buy and live organic if you can but don't get obsessed about it. The sad truth is that you'll still ingest some toxins, whatever you do. USDA offer some protection through their organic label and that's a good thing. Actually, that's as good as it gets for now.
Just make sure that you wash your fruits and veggies as recommended by Star. Both you and your budgie will be fine