Yes all gene in the genome of a cell is translated.
Step-by-step explanation:
The gene that is present in a DNA consist protein molecule. They are also called the "workhorses" of the cell. It does all the function that are necessary for the life. The pre-mRNA goes through a process to form a mature mRNA that are translated and helps in building protein molecule (polypeptide) where it is encoded with protein.
In translation process RNA is a messenger which is decoded. It produces amino acid or polypeptide. The polypeptide is then converted into protein and that protein starts functioning in the cell.