summerhouse vs gazebo

summerhouse and gazebo both are nouns.

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

As nouns, summerhouse and gazebo are synonyms defined as:

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

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