Japan should learn from the example of Australia, where they take good care of nature and the environment.
Australia places importance on its nature and environment, and we should do the same.
We should take a page from Australia, where nature and the environment are cherished.
大切にする = take care of, value, cherish, look after, place importance on
見習う = follow the example of, emulate, learn from, take a page from
「take a page from」という表現は、相手の信仰が本に書いてあるということを想像して、その本から1ページを借りた方がいいという意味です。
「〜are cherished」は受け身ですね。その代わりに「where people (where they) cherish 〜」でもいいです。