Moyal reported in Telegeography '92 that this appears to be the case whichever country and decade you look at. Women make more telephone calls, women's calls last longer, and women's calls are more likely to be for social communication. There are of course men with a female style, and women with a male style, but these are the general tendencies. And it's not just the telephone. Women write more letters.
Women send more photographs to friends and relations.
The people who act as communications hubs within families, groups of friends, and social and civic groups tend to be women. So it would be natural to expect women to use the Internet more than men do. However, although there does not appear to be a gender gap in access to the Internet, at least in the US, women who have access to the Internet spend significantly less time per week online than men do. This is a pity. The presence of women is good for the Internet.