I ran my CBR on a semi-synthetic four stroke motorcycle oil the whole time I had it with no probs. Some people prefer to buy the more expensive full synthetic but IMO it's not necessary as this engine is relatively mildly tuned and not a high revving beast like a four cylinder supersports is. Up to you though, what ever you feel most comfortable with. The oil capacity specs are in your owners manual. I used the K&N filters.
I you don't already have an Owners Manual, I have a link below to Honda's site. You can download a free PDF manual there. Read through it, you'd be amazed how much good info is there. Owners Manuals - Honda