Egg
noun
The kanji and the word are exactly the same. That means they share meanings as well.
たまご
The reading is the same as what you learned with the kanji.
「卵がかえる前にひなを数えるな」という諺は、日本語では「とらぬ狸の皮算用をするな」です。
The proverb "Don’t count your chickens before they hatch" is "Don’t assume you can grab a tanuki" in Japanese.