It means you can use it in certain safety critical applications, and works as a proof of some extra verification work compared to a non-certified piece of softw

It means you can use it in certain safety critical applications, and works as a proof of some extra verification work compared to a non-certified piece of software. Probably most of it you only care about if you need that specific standard for your specific application due to some regulations, but also if you want to have a greater than normal level of confidence that it will work as expected.