Answer
No, it won't be, though the difference won't be noticeable. Strictly speaking, your friend receives red-shifted light.
Work Step by Step
The light is climbing against the gravitational field. The photons lose energy.
The energy of a photon is given by E = hf, where h is Planck's constant. If the energy of light is lowered, as in traveling upward in a gravitational field, its frequency is lowered (the light is said to be red-shifted).
The frequency your friend receives is lower than the frequency you sent.
