We, along with modern and prehistoric monkeys, hominids, non-hominid apes and simians such as lemurs, are all primates, and modern apes (humans, chimpanzees, gorillas, orangutans and gibbons) are all grouped under the superfamily Hominoidea, which is named after the human groups in the old Linnaean taxonomy system.
Me explaining
There is a new classification system out now,
Cladistic Taxonomy. Basically, as well as classifying organisms, it also shows how they are related in evolutionary terms, to the best of our knowledge. So all the organisms in one
clade are descended from a common ancestor, although on a diagram the common ancestor won't be on the point of the clade- it will be attached to it. It isn't a family tree, it still uses classifications ("taxa", singular: taxon), but it is useful to both see how organisms are related to each other and also organises them into distinct groups. We know how organisms are related using evidence from the fossil record, genetics, and other, more complicated methods.
However, this means that the term "reptile" is no longer scientifically appropriate in the classic sense, because now the clade reptillia* also includes birds and mammals, as they are descended from reptiles.
Wikipedia: Cladististics
This is a fantastic site for the ins and outs of evolution, and clears up alot of confusion and misconceptions, especially the "For teachers" section:
http://evolution.berkeley.edu/
*
There isn't one, it is separated into such divisions as diapsids and anapsids, based on fundamental differences in skull structure. I used this term for convenience in explaining my point.
