These links open into other websites with the official information per topic:
Restaurants (in Finnish)
Public events per municipality (in Finnish)
Traveling from Finland: FinlandAbroad.fi
There are public ones that are free, but their availability depends on your symptoms and other factors. They are generally not intended for traveling, and some people haven’t been able to board their flights with the public tests, so a private one is recommended for traveling.
Free public corona testing, depending on your symptoms: OmaOlo.fi
Cheapest way to get a paid corona test in Kamppi: TestaaKorona.fi (25€)