No, it only works in some languages.
English and French accept: "I see" and "je vois", but for example Italian "vedo" can't be used in this way, even though it's in the same language group as French. So… really… I have no idea how the verb "to see" even got that meaning. ;p
Btw, in Spanish "yo veo" would not work to express understanding, but "ya veo" would do the trick.
The semantic link is via perception. To perceive (well) is to understand. It's common across a great deal of languages around the world. Another perception verb (hear) can behave likewise. English "I hear you" and French "je vous entends" can both mean "I understand", as does the Italian "intendo".
So görmek cannot be used in Turkish in the sense of "I get it" in any of its forms?
Can anyone give a context, where this sentence could be used? In the introduction of this skill it is said that aorist are used for habits, hobbies, near future plans and request. But how does this fit here?