If they don’t inhibit your ability to do your job, are they really even your boss?

Sounds like your boss is an idiot. Your coworkers need to be told your boss is an idiot and to ask your boss for training

Your boss probably has a friend or relative that they want to hire and is looking for ways to get you fired

Looks like my former boss is your current boss.

Do it anyway and report his behavior to hr

I would CYA yourself write some emails asking questions like when would you like the manual updated and when you can do training if the boss responds not using email follow up in email restating what she said and asking her to confirm. I think your boss is setting you up to let you go if you got no proof then you are toast.

Jump ship. You are being set up to fail.

Get it from her in writing and in an email that she's blocking you from doing your job, then forward it to the necessary departments and CC higher-ups.

Is there anyone you can report this to??
Make sure your co workers know it's not on you

Write the updated manual and post it to Wikileaks. Conduct the training on the Dark Web.

You’re toast, so you might want to go out like a bad-ass!