Wouldn't Virgin Galactic's flight be the first for this then?
But clearly there is a difference between a suborbital flight with a few minutes of weightlessness and a flight that orbits for three days.
https://www.wolframalpha.com/input/?i=speed+of+sound+at+100+...
Blue Origin's New Shepard did reach 100km though, so was a "space trip". It was sub orbital though, so more Freedom 7 than Vostok 1 (Freedom 7 reached a far higher apogee and speed than New Shepard)
SpaceX has the civilian equivalent of Vostok 1, albeit larger and far more advanced. It's an order of magnitude more impressive.