To understand the exotic-seeming etymology of gazebo, you need to understand the Latin suffix -bo. Any verb ending in -o refers to the first person, and -bo is the future tense for the first person. And the root of the word is the English word gaze (as in "I shall see"), making gazebo a linguistic mongrel from two different languages, something that's quite rare. The reason for this appellation was a humorous allusion to how you can gaze out on the surrounding landscape while in a gazebo. Or so we think: there was no explanation provided for its first usage in a 1752 book called New Designs for Chinese Temples. Assuming this is correct, gaze is of Scandinavian origin and was a verb well before a noun: it is likely connected to Old Norse ga, which meant "to heed" (also the source of gawk), from Proto-Indo-European ghowe, "to honor". Other theories for gazebo's etymology include something from Chinese or Arabic- it's all very iffy.
Adam Aleksic, a rising sophomore studying linguistics and government at Harvard University, has been described as the internet's sixth most famous etymologist. He also has disturbing interests in politics, vexillology, geography, board games, conlanging, and law.