芦苇 is one of the oldest plant names in Chinese poetry — opening 《诗经·秦风·蒹葭》 (The Book of Songs, 'Reeds'): '蒹葭苍苍,白露为霜' ('The reeds are lush green, the white dew has turned to frost'). Both 苇 and 蒹 (jiān) refer to reeds; 苇 specifies the mature plant.
memory
Both characters share the 艹 (grass) radical, marking them as plant names. 苇 alone also means 'reed' — 芦苇 is the standard two-character compound.