For part-of-speech (POS) tagging, accuracy is the main metric. This is because POS tagging is a classification task where each word is assigned one correct tag. Accuracy tells us the percentage of words tagged correctly out of all words. Since every word must have exactly one tag, accuracy directly shows how well the model is doing overall.
Sometimes, per-tag precision and recall are also useful to understand how well the model predicts specific tags, especially if some tags are rare or more important.