The Spanish government is not the ones enforcing the ban here. La Liga and Telefonica went to the judges, who are the ones making ISPs to enforce these blocks, as an intermediate "fix" essentially.
“The government” (what we would call “the executive”) being equated to the state as a whole is a uniquely American concept, likely because the word “state” already has a different meaning in the federalist sense.
Which are part of the Spanish government.
Judges in Spain are not part of the government ("Gobierno"). They are part of the Poder Judicial, the judiciary. The Spanish Constitution separates these clearly, give it a skim if you haven't already.
I guess broadly in English you'd say the judges are part of the state, but they're not a part of the Spanish Government.
Nothing here been a "gotcha" but basically Spanish-speaking people using English to communicate Spanish concepts to Americans who also speak English but have different understanding of those concepts. Nothing malicious here, just some good old misunderstandings :)