The goals of the human genome project included sequencing the entire human genome, identifying the complete set of human genes, creating databases to store the genomic data, and addressing ethical issues. The project used two main methods: expressed sequence tags to identify genes and RNAs, and sequence annotation to sequence the entire genome and later assign functional tags. The process involved isolating DNA from cells, fragmenting it, amplifying fragments using vectors, sequencing the fragments, assembling sequences based on overlaps, storing the data in databases, and genome mapping using microsatellites.