The correct spelling of the word "giveaed bouquet" is actually "given bouquet." The reason for this is because the first part of the word "giveaed" is misspelled, and instead should be the word "given." The correct pronunciation of "given bouquet" is ˈɡɪvn bʊˈkeɪ. The IPA transcription shows that the "g" is pronounced as a hard "g" sound, followed by the short "i" sound, and then the "v" sound. The last syllable, "quet," is pronounced with a long "e" sound, then an "a" sound, and ends with the "t" sound.
The phrase "give a bouquet" does not have a specific etymology as it is a combination of two separate words.
"Give" comes from the Old English word "giefan" which means to bestow, offer, or grant. It has roots in the Germanic language and can be traced back to the Proto-Indo-European root "ghabh-" meaning to give or receive.
"Bouquet" is borrowed from the French word "bouquet" which originally referred to a bunch of flowers. It was derived from the Old French word "boqueteau" meaning a thicket of trees or a bouquet of flowers.
So, when you "give a bouquet", you are presenting or offering a bunch or arrangement of flowers as a gift or token of appreciation.