This is not true.
On the experimental side, studies show candidates with female names are rated lower and recieve lower starting salaries to male candidates with identical CVs (see Moss-Racusin et al. 2012)
On the statistical side, check out the data from;
- the UK's ONS (http://www.resolutionfoundation.org/media/blog/the-gender-pa...),
- the OECD (https://data.oecd.org/earnwage/gender-wage-gap.htm)
You may have your pet theories as to what explains the statistics, and some of them may partially explain some aspects of a complex phenomenon.... but the fundamental finding that people are treated differently based on who they are is repeated over and over, both in research and in human experience.
Some more studies on the subject:
[1] People in gender-incongruent roles penalised more heavily for mistakes (Brescoll, Dawson, & Uhlmann, 2010).
[2] Voluble women perceived as less competent and less suitable leaders, inverse true for men (Brescoll, 2011).
[3] Women who succeed in male-dominated fields percieved as not likeable (Heilman et al, 2004).
[4] Students question the competence of female teachers who evaluate them negatively, less so than male teachers (Sinclair & Kunda 2000).