Despite the congratulatory press, that law allows Apple to make the final determination of what software is and is not allowed to run on your computer or phone. So no, it doesnt force them to let you run whatever software you want.
It sounds like apple can still stop you from running software “for security”. Hard to tell from the wording what it really means
>in order to ensure that third-party software applications or software application stores do not undermine end users’ security, it should be possible for the gatekeeper to implement strictly necessary and proportionate measures