The galactic plane (or galactic equator) is an imaginary plane that slices the Galaxy in half (top and bottom). In the galactic coordinate system, the equator is at galactic latitude b = 0.
The galactic plane is tilted at an angle of 63 degrees to the celestial equator. Since the ecliptic (the path of the Sun on the sky) is inclined at an angle of 23.5 degrees to the celestial equator, the galactic plane and the ecliptic are nearly at right angles (63 + 23.5 = 86.5 degrees), although this is purely coincidental.
A line passing through the observer perpendicular to the galactic plane passes through the north galactic pole (NGP) and south galactic pole on the celestial sphere.