Help : glm p-values for a factor predictor

My question is about the factor predictors with several levels. R provides
only the pvalues for each level whereas i need an overall pvalue for
testing the predictor.

What you ask is provided by anova() -- type I tests, and car::Anova() -- 
Type II & III tests.

Factors in stepwise methods must be handled specially, to allow all 
levels to be included/excluded together.  I don't know of R software 
that does this.

HTH

-Michael