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they can mean the same thing = more than normal size. Here are some examples where the words are the same...

它们的意思是相同的=大于正常大小。下面是一些两个单词意思相同的例子……
A house with 17 bedrooms is (big or large).

有17间卧室的房子是(big大或large大)。
That restaurant serves (big or large) meals.
那家餐馆供应(大)餐。

But there are some times that only big can be used...

但有些时候，只有big可以使用…
She is my big sister = she is my older sister

她是我的大姐
"this is my large sister" sounds weird and mean she is fat.

“这是我的large sister”听起来很奇怪，意思是她很胖。
Changing jobs is a big decision = it is an important decision

换工作是一个重大的决定
large does not make sense

large decision 不合适。