[kabel]

If you did not get a PPI (Porsche Pre-Inspection I think) before you purchased it (which I am guilty of as well). Bring it to a Porsche shop or reputable non-dealer Porsche mechanic and have it inspected, if it was dealer serviced you may even be able to get those service records. Somewhere around here there is a good list of things to have checked, one example would be the condition of the RMS (Rear Main Seal) a common fault of these engines.
At minimum I would say have the oil changed flush the brake system, and the coolant system. If for no other reason than piece of mind and to establish a baseline for future service.

A step further would include a good alignment and possibly even new tires.

Those are just a few things I have learned to date... I am certain others will chime in. (ha, I see a couple other beat me to the punch already!)

Welcome to the forum & welcome to Boxster ownership, looks like a sweet ride!