While a local CPAN mirror with your in-house modules added to it and running MetaCPAN on front is probably the *best* solution, the quickest solution is probably to make LWP calls to MetaCPAN's Pod Renderer and cache the results :-)

The next better step would be to dive into MetaCPAN's source code and find the controller for that pod2html URL, which probably shows you a minimalist way to get the job done, which you could then port to your own web app, maybe installing MetaCPAN libraries as a dependency.