A human is not able to naturally breed with a chimpanzee (and being an AP Bio Student I understand this subject quite well) Although if you're implying its possible to engineer a half-human half-chimp creature you might actually get something along the lines of the missing link. We have similar DNA although, so do all creatures. Only 1% of our DNA actually creates a codon humans recognize as being able to code for the creation of an amino acid. The rest is sort of the "dark matter" of DNA.
"In the 1920s the Soviet biologist Ilya Ivanovich Ivanov carried out a series of experiments to create a human/non human ape hybrid. At first working with his own sperm and chimpanzee females, none of his attempts created a pregnancy. In 1929 he organized a set of experiments involving nonhuman ape sperm and human volunteers, but was delayed by the death of his last orangutan. The next year he fell under political criticism from the Soviet government and was sentenced to exile in the Kazakh SSR; he worked there at the Kazakh Veterinary-Zootechnical Institute and died of a stroke two years later.
In 1977, researcher J. Michael Bedford discovered that human sperm could penetrate the protective outer membranes of a gibbon egg. Bedford's paper also stated that human spermatozoa would not even attach to the zona surface of non-hominoid primates (baboon, rhesus monkey, and squirrel monkey), concluding that although the specificity of human spermatozoa is not confined to man alone, it probably is restricted to the Hominoidea.
In 2006, research suggested that after the last common ancestor of humans and chimpanzees diverged into two distinct lineages, inter-lineage sex was still sufficiently common that it produced fertile hybrids for around 1.2 million years after the initial split.
However, despite speculation, no case of a human-chimpanzee cross has ever been confirmed to exist"
Cross breeding similar animals is not unheard of. With the suspension of disbelief I could probably write a lot on this.
My guess is that the Human gene's would appear dominant. If nothing unexpected went wrong and it did not have sever metal or physical defects. Depending if which animal is female or male, the hybrid could come out quite differently. (as seen with other Hybrid species)