No. If you purchase TurboTax as a digital download, you will get the Windows version, or the Mac version, but not both. If you buy the physical CD, it contains both Mac and PC installers. You may be able to use a file sharing service to transfer the installer to your daughter if you do not live close enough to share the CD, or you can copy the installer onto a flash drive if one of you does not have a CD reader.
Or, if you subscribe to the TurboTax Advantage program, you will receive a CD in the mail and both Mac and PC digital downloads as a courtesy. TurboTax Advantage is the most expensive way of buying TurboTax but you get the earliest access each year and you get access to a priority customer support phone number.
Just a note: although the filesharing procedure was encouraged by the previous expert, I believe it is technically a violation of the TurboTax license. I believe that the license for the desktop version allows you to install the program only on your own computer, although you are then permitted to prepare as many family and personal tax returns as you want, as long as you do not act as a paid preparer. TurboTax will probably not come after you, and the use of a license code cuts down on abuse, but just to let you know that this is a technical violation of the end user license.
