I’m new to speed running and I have zero clue how to record runs on ps1 anyone know how?

If you don't have any recording equipment, I have found the link below is one of best items for recording older games, provided you have a computer that can handle recording. You'll also need RCA Splitters and cords to split the video from the console to the TV and recording unit.

https://www.amazon.com/DATA-connection-video-capture-GV-USB2/dp/B00428BF1Y

You technically do not a time splitter for TC because In-game time is shorter and more important but some people like to use a splitter to see how they are doing in the run. Speedrun.com may have some forums on how to start speedrunning with tips and links, etc. so I would suggest roaming the site a bit as well.