Yep. Then again I really need to rewatch the trilogy; I'm a little rusty as to what happens at all...
Guy called Keanu is haxor. Searches for someone called 'Morpheus.' Really weird things happen, he gets chased by agents (first glimpse of agent smith), guided by Morpheus to safety, until he turns back.
An interrogation and a body shock later at the hands of the agents, Keanu takes the red pill and opens his eyes to the real world. Where humans are batteries.
Keanu learns how to manipulate the matrix *THERE IS NO SPOON ONLY MY MIND*, Morpheus gets kidnapped - Neo does some REALLY awesome things with his mind (reaches bullet slapping Buddha stage), before messing Agent smith up and saving the day.
Movie 2:
The evil Frenchmen. Agent smith foreshadowing. Zion is under threat of attack. Humanity is under threat of extinction. More foreshadowing. Chemistry building. Neo learns more stuff, more philosophy, oracle gives more insight.
Neo then raises SERIOUS questions when he does the bullet slapping Buddha stuff outside the matrix.
Neo has to make choices.
Movie 3:
Choices which come back to haunt him. Meanwhile Zion is getting Fubar'd after the sabeutage, architect and all that nice stuff, Neo has to fighting.
Final fight between Neo and Agent Smiths, where the talks about destiny and choices made knowing the future of said choices really takes more meaning. Pow.