I don't have enough reputation to comment on a previous answer, so I'm posting a new answer to complement Jay Taylor's answer. Basically his answer will do the redirect, an implicit redirect though, meaning it will issue a 302 (temporary redirect), but since the question informs that the entire website will be served as https, then the appropriate redirect should be a 301 (permanent redirect).
redirect scheme https code 301 if !{ ssl_fc }
It seems a small change, but the impact might be huge depending on the website, with a permanent redirect we are informing the browser that it should no longer look for the http version from the start (avoiding future redirects) - a time saver for https sites. It also helps with SEO, but not dividing the juice of your links.