Since Olympus was the seat of the Gods, did anyone in that era attempt to climb Olympus and see the gods? Was it illegal to do so? How would ancient Greeks react if I told them that I had tried to climb Olympus?
To my knowledge, to the ancient Greeks, there were two Mount Olympus' (Olympi?). The physical Mount Olympus was not the actual Mount Olympus that their pantheon resided in. The two essentially paralleled one another. So sure, climb Mount Olympus I suppose, the Greeks didn't necessarily think Zeus would be sitting up there throwing bolts down to keep you out.
Hi! These threads should be of interest to you:
Are there any records of the Greeks sending any sort of expedition to the summit of Olympus?
How did the ancient Greeks treat/view Mount Olympus?
At the risk of over-simplifying: There's no evidence of a specific prohibition, and whether a particular ancient Greek would have thought the gods were beings you could just go out looking for varied.
Just to ask a related question: is there any archaeological evidence of structures built or religious rites held on Olympus in antiquity? That is, did the ancient Greeks ever build temples or altars to their Gods there?