gazebo vs summerhouse

gazebo and summerhouse both are nouns.

Word	Noun	Adjective	Verb	Adverb
gazebo	Yes	No	No	No
summerhouse	Yes	No	No	No

As nouns, gazebo and summerhouse are synonyms defined as:

gazebo and summerhouse: a small roofed building affording shade and rest

gazebo (noun)	summerhouse (noun)
a small roofed building affording shade and rest	a small roofed building affording shade and rest