No. If there's any bias at all, it's a pro-corporate elitist bisas, as seen with the lack of coverage of issues such as socio-economic inequality and the education crisis in this country, and the "liberal" New York Times's fascination of the issue of whether or not a few wealthy, elite women could play in a golf tournament.
If they weren't liberal, they wouldn't care about this sort of symbolic gender equality.
Liberal in a particular sense, yes; that doesn't necessarily equate to overall liberalism or leftism.