Different curve points?

Hello, can you please explain what difference between these type of point and standard one. And how to create or swap/change them.

Here is default

The top one is Truetype curves, or quadratic. To change it, look under Path > Other > …

Thanks, any recommendation in which case use them instead of defaults?

Most designers work with cubic beziers because they are much easier to work with.
When generating web fonts you can convert them because the standard for those is Truetype curves.