Gene transplantation is a method to select genes from cells using recombinant DNA techniques, manipulate the genes, and introduce them into other organisms to provide benefits. The process involves isolating the gene of interest using restriction endonucleases, producing hybrid DNA by combining the gene with a vector like a virus or plasmid, and incorporating the recombinant DNA into a recipient cell where it can be cloned. Restriction endonucleases recognize specific DNA sequences and cleave DNA into fragments that can be used in gene transplantation by separating fragments on gels according to molecular weight.