I donate money to a couple of childrens hospitals --- Can I take the "Cash Charitable Contribution" in addition to the Standard Deduction?

Yes, you can take a $300 above-the-line deduction for cash donations if you take the standard deduction.

For 2020, you are allowed to deduct up to $300 ($150 if Married filing Separately) of cash donations to 501(c)3 organizations even if you do not itemize your deductions.

In order to take this above-the-line deduction, enter your donation(s) under Deductions & Credits > Charitable Donations > Donations to Charities in 2020.  The deduction will be added above-the-line by TurboTax after you have completed the  Wrap up tax breaks interview in TurboTax if you take the Standard deduction.

On your form 1040, this deduction appears on line 10b - Charitable contributions if you take the standard deduction.