If the error changes the tax you owe, you will get a CP2000 notice. This is automated and not really an audit, and seems to take 6-12 months to arrive after filing. You will have the choice to pay what they say or dispute it.
The IRS is supposed to be getting more careful about matching tax returns to W-2s and other documents, but no one has much experience yet on how much slack they will allow before they actually hold up your refund. If they have your correct wages on file, they may correct your tax return for you This will delay your refund but at least you won't get the CP2000 notice later.
No one really knows what triggers a full audit.