Precision and recall are two different types of measurements that help us figure out how good our predictions are.
Precision measures how often our predictions are correct. For example, if we are predicting if it will rain tomorrow, we look at how often our prediction was right when it did rain. How precise were our predictions?
Recall measures if we missed any predictions. For example, if it did rain tomorrow and we didn't predict it, then we would have low recall. We missed the prediction.
In both cases, it's nice to have high precision and recall, which means we make mostly correct predictions and don't miss important ones.