Both 雨 and 飴 are pronounced, roughly, like "ah-may."
However, if you wanted to get into the more advanced pronunciation, one could say that there is a major difference in both of these words' intonation.
It is a style of Japanese where you write like in Japanese but pronounce like in Chinese, so the character for "rain" (雨) would be pronounced "ame" in Japanese but pronounced "yu" in Chinese, and likely it would be "yu" and not "ame" in onyomi.
Saint Philip AME Church was created in 1875.
Saint Ame died in 630.
AME School was created in 1972.
AME School ended in 1996.
African Methodist Episcopal
The second syllable is stressed.
AME Accounting Software was created in 2004.
Ame Deal died on 2011-07-12.
Ame Deal was born on 2000-07-24.
Byrd's AME Church was created in 1894.
Megumi no Ame was created on 2008-11-12.