No, then don't need to match. Google "incomplete lineage sorting", or read:

@article{Pamilo:MBE-5-568,

title={Relationships between Gene Trees and Species Trees},

author={Pamilo, Pekka and Nei, Masatoshi},

journal={Molecular Biology and Evolution},

volume=5,

number=5,

pages={568--583},

year=1988,

}

There are several biological processes that can make gene trees different from species trees. Lineage sorting, hybridization/gene flow, gene duplication, horizontal gene transfer...

The difference of the phylogenetic tree can be tested by some statistical methods, for example, SH test. If the gene trees is significantly different from the species tree (based on genome data), then the gene may be influenced by recombination, HGT, etc. 

Besides the biological reasons offered above, gene trees may differ from species trees due to small sample sizes (i.e., not enough sequence data to resolve the tree).

Dear, Fulvio Saccoccia,

As my colleagues said, every gene has its particular pace of changing and they cannot provide by their own a specie differenciation. In many cases, differences are so scarce that many species will be undifferenciated using a particular gene, so trees would not match using statistic approach. Maybe, they could work at genre or order level, but not at species'.

But, in my opinion, most important issue is horizontal trasnference of genes. As many genes can be transferred between species through horizontal transference, a gene tree allows to track the particular history of a characteristic but does not contribute to clarify the species tree.

In a research looking for common ancestor, you will need to use more than a single gene, combining those which change fastly with those more preserved. 

http://www.sciencedirect.com/science/article/pii/S0169534701022030

Probably, the changes in the studied gene are not responsible of the differentiation between species in the phalogenetic tree. If the sudied gene is linked to the variables (charaters) that allow the construction of the phalogenetic tree, technicaly, it could be posible to have similar or closed trees. But in general the traits used in phylogenetic tree are quantitative traits

There is plenty of literature about the incongruence of gene trees and species trees; it also depends on the organism you are studying. However, if you have more than one marker and multiple accessions per species, you can try with *Beast (StarBeast), implemented in the software Beast  (http://beast.bio.ed.ac.uk/tutorials). The method works well in case of strong phylogenetic signal and absence of reticulation phenomena.

"GENE TREES IN SPECIES TREES" from Maddison 1997 gives some nice information with good illustrations.

And as all the others said already: No it is not necessary