Move left and right with A and D, and jump with Space.
Aim with your mouse - note that your cursor inside the game is locked to a large circular region around the center of the screen.
Hook with right click. Hooking allows you to grab onto hookable tiles or other tees.
Fire/use your current active weapon with left click.
Use an emote with ⇧ Shift. Most of the communication in DDNet can happen without even chatting, as tees often use the pistol to signal where to go and express how they feel about a map part using emotes, such as the tear drop emote for a faily part.