As most people would recommend, and paraphrasing Jonwin, read the stickied new and returning players thread at the top of the forums, then reread it, and read it again. :) Server would help get specific, as the TLP (Time-Locke Progression) servers are a bit different strategy / route, as is the PvP (Player vs. Player) Zek server, an the Roleplaying Firiona Vie server. Class also would help give some specific information / advice.
If a normal blue (PvE, Player vs. Enemy) server, it's fairly straightforward to start. Do the Tutorial (button on the character select screen to login there, if under around 13th level). After it, (around 10-12th level), and after getting some gear there via drops and quests, you can leave through the tunnel to zone to Crescent Reach which is a hot zone (temporary experience bonus zone) at the moment. It has lots of quests and drops to upgrade your tutorial gear. By then you may have specific questions which can be answered in detail here on the forums.
For now though, that's about it, other than I'll edit in some links to EQ dictionaries and glossaries and such, if you're unfamiliar with MMO terminology, and EQ specific terms.
EDIT: Post about terminology:
https://everquest.allakhazam.com/fcluster/gotopost.pl?mid=123655651167915606 Post about various Quest types:
https://everquest.allakhazam.com/fcluster/gotopost.pl?mid=1236895215281434496 Yther Ore.
Edited, Jan 21st 2012 5:47pm by Yther