The correct spelling of the word "bryer" should actually be "briar," as the former is a misspelling. "Briar" is typically pronounced as /ˈbraɪər/ using the IPA phonetic transcription, with the stress on the first syllable. This term refers to a thorny plant that belongs to the genus Erica, which is commonly used to make tobacco pipes. So, if you are looking for this term in written form, be sure to spell it correctly as "briar."
The word "bryer" is derived from Middle English "brer", which itself comes from Old English "brēr", meaning "brier" or "thorny shrub". The Old English term has Germanic roots and is related to similar words in other Germanic languages. Ultimately, the origin of "brēr" can be traced back to the Proto-Indo-European root *bh(e)ru̯os, meaning "to prick" or "to scrape".