According to the theory of relativity, time dilation occurs for objects moving relative to an observer. When an object or person travels at relativistic speeds close to the speed of light, time appears to pass slower for them compared to a stationary observer. This phenomenon is known as time dilation.
From the perspective of the stationary observer, they would indeed perceive the person traveling at relativistic speeds to experience time passing more slowly. This means that the movements of the traveling person would appear to be in "slow motion" from the perspective of the stationary observer.
It's important to note that both observers would perceive their own local time to be passing normally. The time dilation effect only becomes apparent when comparing the two frames of reference. Each observer would perceive the other's clock to be running slower, leading to the perception of time passing differently for each.
The effects of time dilation become more significant as the relative velocity between the observers increases. However, for everyday situations where velocities are much smaller compared to the speed of light, the differences in perceived time are negligible and not readily noticeable.