Science is messy. Before the advent of genome sequencing, research groups would identify genes and name them based on the phenotype they were studying. And so would another group. Then, SURPRISE! They're the same gene. This process has resulted in a single gene having many different names, which can make finding information about your gene of interest problematic.
Now that we can identify these redundancies, groups like the HUGO Genome Nomenclature Committee (HGNC) are imposing order to this chaos be developing standard nomenclatures (or, ways of calling a gene) and unique identifiers for each gene.
Gene contains information from HGNC (official symbol, official full name, a link to the source material) in the Summary section. They also include aliases (alternative names for the gene) in the Also known as field. This field allows Gene to find the gene you're looking for even if you are calling it by an unofficial name.
RefSeq is composed of a non-redundant set of sequences. They are curated and corrected as new experimental evidence is found. You can see where the submission is in the process by looking at the RefSeq Status Code: