Bengü
Bengü is a Turkic-origin feminine name used by Muslim families but it is not an Arabic or Quranic name; its meaning 'eternal' is lexical rather than religiously prescribed.
Pronounced ben-GÜ with stress often on the final syllable in Turkish; the 'ü' is a front rounded vowel similar to German ü.
The root 'bengü' is attested in Old Turkic and later Turkish lexicon; the personal name is historically attested in Turkish-speaking contexts though relatively rare.
Yes. As with other culturally Turkish names, Bengü may be combined with honorifics or family epithets (e.g., 'Hanım') according to local custom.
Related Turkic lexical forms such as 'Bengi' have been used for men and women; Bengü itself is primarily feminine in modern Turkish usage.