Round Wooden

What is the name for this traditional, wooden structure?

In the movie, The Sound Of Music, the song “You Are Sixteen Going On Seventeen” is sung in a round, wooden structure. It has a vaulted roof like an old fashioned carousel, and is ringed with a type of bannister . These are often found in parks too, and sometimes small concerts are given from them. It is not a band shell. What is the name of this type of small building?
Bingo! I simply couldn’t remember this word. Thanks!

Gazebo

EDIT
Lol-took me a couple of minutes to remember the name.

Self build round wooden house. Wool insulation, grass roof, rainwater harvesting.