How does one experience or understand the experience of others? I have found that if i do not share or understand the perspective of others, it is difficult to appreciate their point of view so that one is able to be the viewer as opposed to the actor. How does one experience the experience of others?
I understood the question as, how to listen deeply, without imposing our will, our ego or impatience on the speaker.

First we must still our mind of all chatter and impatience, which isn't possible without daily meditation and mindfulness, so we must learn to practice properly. 

If we are to be strong to help others, we must practice correctly.

Second, we develop compassion and loving kindness towards the speaker. When our mind is not caught in its own web of suffering, compassion comes easily.

Having developed the heart of compassion and loving kindness, we listen mindfully. Such deep listening, where we offer our true presence to our friend or partner will be much appreciated.

To be effective, we must practice deep listening regularly, by being present in the moment, and allowing our heart of compassion and kindness to open.