I'm going to do the first oil change on my 08 Corolla. What type of filter should I use? Also what kind of oil? is 5W-30 ok?

5w30 is the prefered weight of oil, You can use conventional or synthetic oil or even blended oil. Just try to stick with one brand once you get started. Filters, you can get OEM from the dealership, or I personally recommend FRAM for aftermarket filters.
Now, having said that, many dealerships will offer oil changes, and often for a better price than the local "quick lube" place down the street. Good luck.