The 1040SR is the same as the regular 1040 just bigger type so it prints on 3 pages instead of 2. When you efile only the tax data gets transmitted not the form it's on.
When you print it will print on the 1040SR even if you see only the 1040 on the screen. You automatically get the 1040SR if you or your spouse is 65 or older. In the Desktop program you can tell it which one to print.
Turbo Tax will automatically give you the 1040-SR if you or your spouse is over 65.