I listen, but then I dismiss it out of hand if it doesn’t fit with my pre-conceived framework of what the world looks like.
In all seriousness, I do try to see different points of view, though I wouldn’t say I do it in an overtly deliberate manner through what I read. I generally try to avoid overtly partisan sites of any stripe just because there are less things of value to be gleaned amongst the editorializing.
By nature, I like to find common ground with people and harmonize opposing viewpoints. Of course, we cannot usually find a mental compromise that is agreeable to everyone, but I think we can almost always at least identify something in another person’s view that points to some shared value.
For example, I might disagree with someone who thinks it is good that same-sex marriage is legal, but I can at least appreciate their desire that people be treated fairly and equally, and their notion that love is a good thing. Those are all good impulses, even if I think the person is applying them incorrectly.