No, the IRS won't send you such a statement. You need to enter your estimated tax paid manually.
To enter any federal, state or local estimated tax payments you’ve made under Estimates, in the Estimates and Other Taxes Paid section. You'll find this section in Deductions & Credits under either the Federal Taxes tab or the Personal tab, depending on the product. For a shortcut, type “estimates paid” in the search box and use the “Jump to” link.
