Enjoy!
The biggest difference between the two games is the role of the players. In essence WOW is a solo game with the ability to join up with other players. EVE absolutely depends on the players to make the game.
In an extreme case if you were the only player on a WOW server you could arguably still have an interesting time just doing the quests solo and exploring the world. (Sometimes it feels like this in less populated areas in Azeroth now.) In EVE this situation would be pointless.
WOW is much more directed than EVE is sand-boxed. Basically all your activities in WOW are scripted by Blizzard. In EVE it is the players that direct the activities to a much greater extent. This means that after a new EVE player has finished the introductory quests it is up to them to find a role in the game. In WOW the NPC's will often direct you to the next area for quests. This may be the hardest thing to come to deal with. Are you going to be a pirate, a pirate-hunter, a miner or an explorer or even a corporation director, etc. In EVE these are all possible, but the player has to decide and then work out how to apply those skills. Especially since many of the occupations depend on other people.
This emphasis on player interaction is the major theme within EVE. The economy depends on other players not only in buying and selling basic materials and quest trash but also in making available important weapons systems. In WOW to get the best gear you need to get it from the NPCs either from instance drops (going into dungeons and killing the same NPC again nd again and ..) or PVP grinds.
In EVE, the items are player-built. So if there is a popular item in EVE not only will that be available at a price but in the supply chain to provide that many EVE players could benefit. Even at a relatively early level you could be part of that chain. There is also the point that making and trading items in EVE is much more involved and and potentially more interesting in comparison to WOW.
