Is the LG 32GX870B good for both PC and console gaming?

Yes. It takes 4K at up to 240 Hz over DisplayPort and HDMI, so it suits a high-end PC and current consoles. Console output is capped by the console's own limits, not the monitor.

Does it have built-in speakers?

Yes, it has built-in speakers, so you can use it without a separate sound system. They are fine for casual use but a soundbar or headset sounds better.

Is burn-in a real risk on this monitor?

It is an OLED, so static images shown for long periods can leave marks over time. LG includes panel care features, and varying content and using a screensaver lowers the risk.

How does it compare with a 4K IPS monitor?

The OLED gives far better contrast, black levels and motion clarity. A 4K IPS monitor gets brighter and avoids burn-in worry, but looks flatter in dark scenes.

What connections does it offer?

It has HDMI, DisplayPort and USB-C inputs, plus built-in speakers. That covers a PC, a console and a laptop over a single USB-C cable.

Is 32 inches too big for a desk?

Most people find 32 inches comfortable at arm's length, and 4K keeps text sharp at that size. Check your desk depth before buying if you sit very close.