Welcome to the Prius world.
I dont know a lot (almost nothing) about vehicles, all I did was taking the vehicle to highway and put the pedals on high acceleration (90+mph in power mode), break and did all kind of stress test to see if it holds good (i got it from a ford dealer who gave 30 day warranty). Took a friend in passenger seat to accompany me (he was a car enthusiastic but still nowise in internals) to see if there are any rattling noises or funky smell during our 10 mile ride. Opened the engine (i know nothing here) and just inspected for oil leaks, inspected closely to see any damages (which got fixed) due to any accidents. Checked the vehicle history through records (it was one owner, meticulously maintained in same Toyota showroom without missing miles/maintenance and had all records).
Ran the car report (I think someone on craigslist sold detailed car fax for $1) to know more about it.
As far as the things people say, they will scare you about the battery, but most cars are good for their lifetime. Check if the car was from flood prone area (if there was flood like Florida, I would never a hybrids from that location), or from severe weather (in my case car was from Michigan, not that bad for weather) which can impact battery performance. Like others suggested, try to check health of the battery.
Thats all i did when I bought it.
Edit: When we bought used cars for our friends, we sometime ask the owner if anything wrong in car and why they are selling and are they okay to bring the car to a nearby mechanic shop for evaluation (which cost you $100, but worth on negotiation/information). But it depend on the situation.
Another thing I forgot to mention, In 2010 i received a mail letter from Toyota for servicing head light circuit as some might have gone bad. Mine did. But its not a factory recall, rather selective issue for random cars on a particular year model. So you may want to double check on Priuschat forums or any owners here on any particular issues related to 2009 as they may not be available in recalls for that model. But if you tell specific issue (so many models, service guys would turn you down unless you know the information).
Also the oil change is about 10k miles, but light will be on after 5k miles (I turned down from oil change on Toyota dealer by the tech guy there saying that and reset the timer). But I do the oil change 6 months.
If the small battery is weak/bad, its only $100 to change it.
I read that the oil issue was for 3rd gen (2010-2015) but it wasnt in my 2010. Also not read much mentioned about 2009 on that issue when i was in market 4 years back.
Good luck.