Flyaway bus has direct service to Hollywood but it only runs once per hour so may not work out for your schedule. But if you happen to catch it in time, this is your best bet.

If your arrival time doesn't match the Hollywood Flyaway, you can take the Union Station Flyaway which runs up to 4 times per hour, and then transfer to Metro red line subway at Union Station.

Buy your Flyaway ticket online and use your phone to board at the terminals or on the bus. Buy your Metro TAP card once you get to Union Station.

More info can be found in the Los Angeles forum

https://www.lawa.org/flyaway

https://media.metro.net/documents/b4...8dbca1e7e9.pdf