You can find a perfect mini-review about graphene as a material for catalysis here:

Catal. Sci. Technol., 2012,2, 54–75

In this review there are a lot of references which also could be helpful. In general, the main advantages are very high specific area and electronic conductivity, a disadvantage is that preparation of real pure graphene is still not easy procedure.

Check the following papers on this topic

1)A graphene-based smart catalytic system with superior catalytic performances and temperature responsive catalytic behaviors

http://pubs.rsc.org/en/Content/ArticleLanding/2013/NR/c3nr00395g#!divAbstract

2)Graphene based catalysts

http://pubs.rsc.org/en/Content/ArticleLanding/2012/EE/c2ee22238h#!divCitation

3) Metal Free Graphene Based Catalysts: A Review

http://link.springer.com/article/10.1007%2Fs11244-013-0233-9