One way to introduce a distance or similarity measure between documents is:
first encode your documents as vectors, eg using TF-IDF (see https://en.wikipedia.org/wiki/Tf%E2%80%93idf)
the scalar-product between two vectors related to two documents give you a measure about the similarity of the documents. The larger this value is, the higher is the similarity.
Using MDS (http://en.wikipedia.org/wiki/Multidimensional_scaling) on these similarities should help to visualize the documents in a two dimensional plot.