You may technically be “reading” emotions, but you’re not doing it on a conscious level, and the way it tends to surface in you is through emotional mirroring - i.e., you feel the emotion the other person is feeling.

To illustrate, someone I know has significant social anxiety, and I saw her in a social situation standing alone. Her facial expression and body language immediately kicked in my own discomfort, so I went over and talked with her and her face lit up. I could feel her relief as plain as I could feel her discomfort before. It’s easier with people you know, as you have a lot of baseline data, but even total strangers give off the cues you pick up subconsciously. What is interesting is that I’ve found that some highly manipulative people are fairly adept at masking their external emotional cues, especially facial microexpressions. I would guess that professional poker players are highly adept at not only intuitively reading microexpressions, but also at concealing their own.