In order to hide all the boot messages (including the terminal) and the blinking cursor on the Raspberry Pi, edit /boot/cmdline.txt and first change
console=tty1
to
console=tty3
After that, add the following to the end of the line:
loglevel=3 quiet logo.nologo vt.global_cursor_default=0
Now you can reboot and enjoy the clutter-free experience.