According to the theory of relativity, specifically the theory of special relativity, as you approach the speed of light, several interesting phenomena occur that can affect your perception of motion. One of the key principles of special relativity is that the laws of physics are the same for all observers in uniform motion relative to each other. This means that if you are traveling at a constant velocity near the speed of light, you would not feel a difference in your own speed.
From your perspective, time would appear to be passing normally, and you would feel no physical effects suggesting that you are moving at a high velocity. This is because your body, including your biological processes and the electrochemical signals in your nervous system, would all be operating at the same rate as they do when you are at rest.
However, while you would not notice a difference in your own speed, you would observe certain effects in the outside world. For example, objects in the direction of your motion would appear to be compressed along the direction of motion (length contraction), and time would appear to pass more slowly for objects that are at rest relative to you (time dilation). Additionally, you would observe a shift in the wavelength of light coming from other objects (Doppler effect) due to your relative motion.
It's important to note that achieving speeds close to the speed of light is currently beyond our technological capabilities, and these effects become more significant as you approach the speed of light. Nevertheless, according to the principles of special relativity, if you were traveling near the speed of light, you would not feel any difference in your own speed, but you would observe various relativistic effects in the world around you.