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If both pages are exactly the same, you should still 301 redirect the page.  There's no point in having two identical pages laying around and it isn't good for the search engines. The canonical tag is typically used if you need to keep those pages on the site or very similar content is posted in multiple places, then you can direct the search engines to the page you want them to count.

Hi Chris, Ryan providing you with a good synopsis of next steps to take. Did it answer your question? If so, please mark it as such. If not, please ask for clarification of the response (or an update if you have already resolved this issue otherwise.) Thanks! Christy

You'd want to get the redirect to go to the most applicable place as possible so if it's OLDSITE.com/apple it'd be best to send it to NEWSITE.com/category/apple if you have that level of information from old to new.  Otherwise, domain to category would be second best. Third, domain to domain.

Thanks Adam!