If you have to call the IL unemployment office----you might want to get an extension for your tax return. When you call IDES you are put in "line" for a call back ---- the call can take up to two weeks (maybe more) before they call you.
Are you sure you cannot go on the IDES site to get your 1099G by using the ID and password you used to certify for your benefits? You should be able to log in and get your 1099G.
https://ttlc.intuit.com/community/tax-topics/help/how-do-i-file-a-tax-extension/00/1005116
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