"Deep web" is distinct from "dark web". The "dark web" is the encrypted network that exists between tor servers and their clients, whereas the "deep web" is simply the content of databases and other web services that for one reason or another cannot be indexed by conventional search engines.
Neither the deep web nor the dark web can be indexed, but not all that cannot be indexed is the dark web. For purposes of this question, I assume you want the dark web - that much-hyped, mysterious place that the media would have you believe is a wretched hive of scum and villainy where you'd be well-served to shoot first if you hope to survive. Activists will tell you it's our last, best hope for privacy and free speech, all alone in the night.
As with most things, the truth falls somewhere in between. But you didn't come here for analysis, you came here for instructions. Fair enough.
First of all, if you want anyone who matters to take you seriously, drop the "dark/deep web" thing. What you want to access are sites using the Tor Hidden Service Protocol. It works over regular Tor (anonymity network), but instead of having your traffic routed from your computer and through an onion-like layer of servers, it stays within the Tor network. You won't know exactly what system you're accessing unless they tell you, and they won't know who you are unless they do - or unless one of you is careless.
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