When I use Iceweasel (Debian version of Firefox), I can see Chinese characters found on this page, but not when using Chromium. I instead see rectangles. This is on Debian 7 (Wheezy).
Firefox's rendering engine will substitute glyphs from other installed fonts (if it can find one with the required glyph) instead of displaying broken glyphs. Chromium will stick to the specified font(s) instead, and will display a "missing glyph" character if the glyph is not found.