Faron Tower is unusual in that it is of normal height for a Tower, but there are no platforms on the bottom. You will want some sort of stamina food or more stamina wheels, or Revali's Gale.. There is also an Electric Wizzrobe floating around that you will either want to kill or sneak around.
If you see a swarm of Keese around the Tower be wary of using Revali's Gale to go up. You will probably attract the attention of all of them (their eyes turn red). If this happens just land back on the ground and use Urbosa's Fury, a Remote Bomb, or a well-timed spin attack to kill as many as possible. Even if you can't take out the entire swarm, the rest should be too scared and will flee, leaving you in peace.