Genny \ge(n)-ny\ as a girl's name is a variant of Genevieve (French), Genna (English), Ginny (English), Guinevere (Welsh) and Jennifer (Welsh), and the meaning of Genny is "fair one; white and smooth, soft".
The baby name Genny sounds like Jenny, Gwenny and Genni. Other similar baby names are Benny, Denny, Penny and Renny.