I see. So once my "free" period is over, do I need to come for the service (whatever it would include) every 5k miles, or just every 10k miles would be enough?
Well, that's probably debatable. Toyota's OW20 synthetic is a very good oil, and 10k is probably sufficient unless you are doing a lot of "severe" driving - short trips, all stop and go, dusty or dirt roads, extreme temperatures. But I would add that many people aren't confident running ANY oil (and oil filter) for 10k miles. I'm going to do my first one at 5k and then I will probably go to 10k intervals after that, or I may split the difference and go 7.5k intervals.
with a 10k interval though, be sure to check your oil level on a regular basis, just to insure you aren't consuming enough oil to put you below the "add" line on the stick. 1 quart consumption of a very thin oil per 10k miles is not an extreme consumption rate, particularly as the car ages.
Also, once your free maintenance period is over, your warranty is still in effect (for another 16k miles on the car and another 40k miles on the powertrain). So you MIGHT want to stick to the 5k intervals for service (they don't do much but the tire rotation, oil change at 10k intervals, check your floormats
, and "inspect" various things. These services will add up to some money (for the "inspections"), so its up to you if you think its worth it. They could hassle you on a warranty claim if its something that could have been prevented by these "inspections". Personally, I'm not running to the dealer every 5k miles. I don't think its worth it time or money-wise. Also, there are mileage and/or time intervals for things like break fluid, coolant, spark plugs, etc. But Toyota does a very poor job spelling out what these should be, trying to get you to go back to the dealer for regular "inspections".