Here's the live blog at SCOTUSblog.
And
here's where to get the text of the opinions immediately, starting in a few minutes, at the Supreme Court's website.
UPDATE:
West Virginia v. B.P.J.: "Title IX allows schools to provide separate women’s and men’s sports teams defined by biological sex, and West Virginia has permissibly maintained female sports for biological females consistent with Title IX." Kavanaugh has the opinion joined by Roberts, Thomas, Alito, Gorsuch, Barrett. Thomas and Gorsuch have concurring opinions. There's an opinion concurring in the judgment in part and dissenting in part, by Sotomayor that is joined by Kagan and Jackson, and then Jackson has an opinion concurring in the judgment in part and dissenting in part. To what extent is this unanimous?
From the Kavanaugh opinion: "In short, States are not required to conduct an individual-by-individual comparison of the physical and athletic capabilities of all biological males in order to satisfy intermediate scrutiny. Intermediate scrutiny permits a sex-based classification that, as here, is 'not invidious, but rather realistically reflects the fact that the sexes are not similarly situated in certain circumstances.”
UPDATE 3: Birthright citizenship survives. Here's the opinion,
Trump v. Barbara. Roberts writes the majority opinion and is joined by Sotomayor, Kagan, Barrett, and Jackson. Kavanaugh writes an opinion concurring in the judgment in part and dissenting in part. Thomas, Alito, and Gorsuch all write their own dissenting opinions, with Gorsuch also joining the Thomas opinion.
From the Roberts opinion: "If Congress intended to limit American citizenship to the children of those domiciled in the United States, nothing in the succinct language of the Citizenship Clause conveyed that design. Words appearing frequently in the Executive Order—'mother,' 'father,' 'lawful,' 'temporary'—are absent from the Clause. For a simple reason: they did not matter. And while the Clause does ensure state citizenship attaches for U. S. citizens in 'the State wherein they reside,” Amdt. 14, §1, the explicit invocation of residence for state citizenship only highlights its absence from the criteria for U. S. citizenship. See Slaughter-House Cases, 16 Wall. 36, 74 (1873) (a person can 'be a citizen of the United States without being a citizen of a State'). When the principal dissent does grapple with the operative legal text—'subject to the jurisdiction' of the United States—it has little to say...."
Also from Roberts: "Citizenship, then and now, was the right to have rights—to freely participate in our political community. The Framers of the Fourteenth Amendment extended that promise to 'every free-born person in this land.”' Cong. Globe, 39th Cong., 1st Sess., at 600 (Sen. Trumbull). We keep that promise today."
UPDATE 4: From SCOTUSblog: NPR is announcing that Alito is retiring -- but still has not been confirmed... "Justice Samuel Alito, who wrote the Supreme Court's opinion reversing Roe v. Wade, is retiring, the court announced Tuesday."