Try looking in your textbook. If this yields no results, try doing a search for Polymerase Chain Reaction.
The process is similar because it involves polymerase, specifically, Taq polymerase, and dNTPs (the four nucleotides, A, C, G, and T). It also results in functional DNA. Each cycle, PCR or cell, the amount of DNA doubles.
Differences are the fact that this is done artificially, in VERY large amounts all at once and in just a few hours, and that usually only sections of the DNA structure are synthesized rather than a whole genome. I am pretty sure an entire genome cannot be synthesized using PCR, but I am not sure. To perform PCR, you need a primer to match up with the DNA whereas in normal cell synthesis, this is not needed.