How should "the human genome" be interpreted?
Certainly individuals have unique genomes. The human genome sequencing project used DNA from a handful of volunteers, and the reference human genome that resulted from this project can be thought of as an "average" genome for those individuals. Where sequences differed between the individuals, a representative consensus sequence was chosen. Hence, the sequence of a gene from a given individual may not perfectly match the reference genome, although mostly the differences are small: genetic difference between humans is estimated to be around 0.1 --- 0.4%, which means a few million base pairs in total.

As DNA sequencing is nowadays orders of magnitude cheaper, genomes for larger number of individuals are being sequenced; see for example the 1000 genomes project.