Meditation is the universal science of union with God. Since men and women possess the seed of consciousness, known as Essence or Buddhata (the "seed" or "potential of the Buddha) both can achieve spiritual realization.
As to whether they meditate differently, we understand that the principles of the consciousness are eternal and relate with the eternal divine, Iod-Chavah or Father-Mother. Physical sex does not determine the stages, principles and steps of meditation, since both men and women need to follow the same steps for the psychological and spiritual work of Gnosis.
There have been many great female Masters throughout antiquity and in the modern world, such as Joan of Arc, Helena Petrovna Blavatsky, etc. The principles of the consciousness apply to both sexes, since men and women have soul. As to whether there are significant differences in how the sexes meditate, that does not sound plausible or correct given the literature of the great Initiates. What article or author are you referring to?