Fonts begin as vector graphics, but every single character on your screen isn't rendered as a tiny, individual vector graphic. Text rendering libraries use a lot of optimizations to cache rasterized glyphs because they're reused all over your screen.
It also gets extraordinarily complex when you have to handle text layout, kerning, languages that read in different directions, styles, and all of the other complications that come with font rendering.
TrueType fonts even support a small virtual machine to process tiny code programs related to font rendering. It's an incredibly deep topic.
These glyphs are indeed defined in terms of vector paths (quadratic or cubic Bezier splines depending on the font format), but it’s rarely a good idea to directly render these shapes to display text.
Performance optimizations mentioned in the other comments is not the sole reason. Another one is visual quality.
Direct rendering of these vector glyphs would look good on high DPI displays and/or for very large font sizes. For normal-looking text on typical displays you won’t achieve great results without hinting: https://en.wikipedia.org/wiki/Font_hinting