The Biden administration has been appointing judges, using the fact that it has a bare majority of the senate (50 + the VP). All Federal judges need Senate approval. Biden in fact had the largest number of Article III judicial nominees confirmed during a president's first year in office since Reagan.
Democrats aren't trying to work completely legislatively, in fact this decision is an injunction against an administrative rulemaking applying a Supreme court decision preventing sexual orientation and gender identity discrimination in the workplace to other parts of the same law.
Because at least one of the 50 Democratic senators don't support the elimination of the senate filibuster for normal legislation, the only laws passed by congress under Biden have been reconciliation bills, which have to be primarily financial in nature, and a few bipartisan bills, (the post uvalde bill on responsible gun ownership and red flag laws).
You are right that Republicans are attempting to entrench minority rule using gerrymandering though.