When are they going to start fixing unemployment for the people that filed before the bill passed?

They have already started in May.

The IRS began to send out the additional refund checks for tax withheld from unemployment in May.  The refunds are being sent out in batches—starting with the simplest returns first.   If you are eligible for the extra refund for federal tax that was withheld from your unemployment the IRS will be sending you an additional refund sometime during the next several months.  TurboTax cannot track or predict when it will be sent.  The IRS has not provided a way for you to track it, so all you can do is wait for the refund to arrive.

https://ttlc.intuit.com/community/tax-topics/help/how-do-i-get-the-new-unemployment-benefits-if-i-ve-already-filed-my-taxes/00/2081053

Please read this very recent news from the IRS:

https://www.irs.gov/newsroom/irs-to-recalculate-taxes-on-unemployment-benefits-refunds-to-start-in-may

https://www.irs.gov/newsroom/irs-begins-correcting-tax-returns-for-unemployment-compensation-income-exclusion-periodic-payments-to-be-made-may-through-summer

https://ttlc.intuit.com/community/tax-credits-and-deductions/help/am-i-eligible-for-a-new-credit-or-deduction-because-of-the-unemployment-income-exclusion/01/2211778

https://www.irs.gov/newsroom/2020-unemployment-compensation-exclusion-faqs

https://www.irs.gov/faqs/irs-procedures/forms-publications/new-exclusion-of-up-to-10200-of-unemployment-compensation

The IRS has already started to issue tax refunds for the unemployment compensation exclusion for those that are eligible and will continue to do so throughout the next several months.

See these IRS websites for information - 

https://www.irs.gov/newsroom/irs-sending-more-than-2-point-8-million-refunds-to-those-who-already-pa...

https://www.irs.gov/newsroom/irs-begins-correcting-tax-returns-for-unemployment-compensation-income-...

https://www.irs.gov/newsroom/2020-unemployment-compensation-exclusion-faqs