If you are on a planet that does not rotate and does not have any other significant sources of gravity, such as a massive object nearby, then the gravitational time dilation on that planet would be negligible. Time dilation due to gravity is primarily caused by the curvature of spacetime created by mass.
In the absence of significant mass, there would be no substantial gravitational field, and therefore no noticeable time dilation due to gravity. In this case, time on the planet would experience negligible deviations from the time experienced by a distant observer in a region of weak gravity.
However, it's important to note that other factors, such as relative velocity or acceleration, could still induce time dilation effects according to the theory of relativity. If you are moving at high velocities or experiencing significant acceleration on the planet, kinematic time dilation may still be present. But without any significant gravitational field, the gravitational time dilation component would be negligible.