My 2010 15" gets very hot too, it's normal. The 2010-era CPUs and GPUs are pretty old by today's standards and they are very inefficient. They need to work hard to keep up with today's software and web pages. It's worse with Chrome because Chrome is not as efficient as Safari. I typically get 40% CPU usage and 65C degrees just scrolling through a heavy webpage in Chrome, nothing else actively running in the background.
Youtube videos on Chrome is actually more stress on the CPU than most people think, because Youtube uses VP9 codec for videos, and the 2010-era CPUs and GPUs do not have any kind of hardware acceleration for VP9 decoding.
I typically have my MBP docked on my desk and connected to a monitor, keyboard and mouse, so I don't mind that it gets hot. But if I have to use it on my lap or on the go, I take care not to activate the dGPU (check Activity Monitor) and switch to Safari.