A book printer is, more or less by definition, a printer whose equipment and workflow are optimized so pages collate sequentially. A book printer can do what you want, but it won't save you any time or money.
If you're printing 1000 or fewer of each page, and the pages don't require high-quality color or subtle halftones, any reliable copy shop can do the job.
If you want the pages to look like keepsakes rather than lecture notes, specify an off-white sheet with a soft finish instead of the copy shop's default paper.
Trying to replicate the hyperlinks on the printed page seems contrary to the spirit of the enterprise. Is the original blog still accessible somewhere, so folks can have the full-on interactive experience if they like what they read on paper? If so, you can ignore the hyperlinks and give them the URL of the blog, maybe as a footer on the printed pages.