ES doesn't log what people have searched for, so if you want to return a genuine list of related/popular searches that other users made, this logic would be in your own application.
I know the ES developers have yet to implement "did you mean" functionality because its going to be built in to Lucene 4 (ES uses Lucene 3?), and they didn't want to write it from scratch.
However you could potentially use a fuzzy match query against your index and set the result to return highlighted chunks of text, ie the words surrounding your term. It won't be perfect but might get you half way there.
Your best bet is to write your own logic — store each search term and the number of results it returns. Your "see also" list would be the distinct terms from this dataset, ordered either by their frequency (popularity) or number of results they yield (precision).