I just used plain Motorcycle specific 10-40 in my '77 550. Full synthetic is overkill in my opinion, but when it comes to oil there are about 100 opinions and none of them are wrong, just different. In any case by motorcyel oil and not car oil. Car oil doesn't always play nice with the wet clutch system our bikes use.
If you download the factory repair manual available here on the site the service intervals are listed. I generally do oil changes every 1,500 miles or so with the filter every 3,000.
I got my bike with 7k original miles and sold it about 8 months later with 11,500 miles. I never did check or adjust the valves. It didn't make any excessive top end noise and started and ran beautifully. I did periodically adjust the cam chain tension though, which is easy to do and a good practice.
Keep an eye on drive chain adjustment. I found mine needed to be adjusted frequently and a too loose chain is a recipe for a damaged engine case and an expensive engine rebuild.
Since you just got it, I would do an oil and filter change just to know you are starting fresh. Check the gaps on the plugs and points and do the cam chain adjustment and check the drive chain slack. Once all that is done, spend some time riding it. If it starts easily and runs smoothly then I would just ride and enjoy.