I love it. It's very different from most other MMORPGs, so be ready.
First of all, you don't need to kill mobs to advance. Character advancement in EVE takes the form of skills; you select a skill to train, and it will gain a level after a certain amount of time. Time that you spend offline counts, so you technically don't even need to play. This makes it great for people like me that don't have much time to play!
You need to purchase advanced skills and better equipment, so you want money. You can get money by killing NPCs, like in any other game. Or, you can mine, trade, manufacture, kill PCs, do scientific research, do transportation services. These are all viable playing styles in EVE; after training enough combat skills to safely deal with NPCs in mid-security areas, I'm doing research on electromagnetic physics, but since it's been fruitless for now I'm training production skills. It's been months since I've last had a fight. You can do this on your own, or for other PCs, or for NPCs as missions/quests. For example, I might need some 100000 m3 of tritanium transported from a station to another; if I don't have time to do it myself, I can set up a transportation mission with a reward and someone else will do it.
Obviously, having more time to play means more money which means better equipment which means a more powerful character. However, skill (not character skill... your skill) in your chosen profession can and will trump gametime.
The game is also so flexible that people find new things to do all the time. Some players explore systems to set up bookmarks, which can be used to speed up navigation and thus are highly valued. Others steal the ore other PCs are mining in asteroid belts, through quick action but without bloodshed. Some pirates, instead of just killing you and hoping for salvage, will jam your warp drive and demand a ransom. A couple of guys have even set up a web-based casino which you pay in ISK!
EVE, as the article describe, it's brutally realistic. The death penalty (meaning, what you lose if you get killed) is steep; you definitely are not going to just respawn and get back into the fray ala World of Warcraft. Any scam that doesn't rely on game bugs is allowed and considered part of the setting. There are huge no-PvP areas, but they won't protect you from scams and some of the high-end content can only be deployed and used in low-security space.
EVE is the only MMORPG AFAIK that has a true player-driven economy. The vast majority of items are manufactured and sold by PCs (NPCs sell stuff, but it is overpriced). The market is quite cut-throat, competition is harsh, and fortunes are made and lost daily. Organization is the key.
EVE plays much slower than the average MMORPG. You'll spend a lot of time travelling, especially if you are not into combat (but in that case, chances are you'll need that time to keep yourself updated on market trends and whatnot from the various in-game browsers). Combat with NPCs isn't too frantic either. PvP, of course, is another matter entirely.