Yes, it will be automatically cached as well, but may take some time after the crawling is done unless of course the page is using noarchive directive. See this.
From my experience I don't notice a cached version of my web page until about a month or two after it has been first crawled and indexed. Google may do this to prevent caching web pages that only last for a short period of time.
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Thanks for the replies. The site in question is actually a few years old, so it should be cached with every crawl then.
Yes, it should have a cache, unless it has been indexed by the search engine only recently. Also, the rate of crawling and caching depends on how high the PR of the page is and how often new content is added on the page.