Can you tell me which one is correct?
Emily Dickinson's garden was a place from which she drew great inspiration for her poems.
Emily Dickinson's garden was a place that she drew great inspiration for her poems.
To imitate one of the best answers I've read here...
You have four possible ways to rephrase that sentence:
So, only your first alternative is correct. The second one will need from at the end of sentence. Please also note that the relative that may not pied-pipe.
You can find more details on 'pied-piping' in StoneyB's answer mentioned above.
The answer can also be determined logically. The garden was the source of her inspiration. Her inspiration was the garden; it was from the garden. So, "from which" is correct.