I'd be careful looking for jobs while at work, especially on a work computer. That's a great way to get let go if they notice you doing it.
A friend of mine clicked a link to Twitch on his work laptop once. He immediately got pinged by his HR team, saying he was accessing unauthorized streaming sites and might be fired if they catch him live streaming. He has a strict clause in his contract that claims he's not allowed to live stream at all while employed with the company, for fear of him spilling company secrets in a public forum.
As a former IT guy myself, I can confirm it's super easy to monitor employees' activity on their work computers. Don't do anything but work on your work computer. Save all the job hunting or personal browsing for your personal phone/laptop/home computer. Don't let your job build a profile on your browsing habits, because they will absolutely use it against you in a termination.