Complex sentence: She graduated from the Nya Elemnar-school in Stockholm in June 1872 and the following year entered Uppsala University graduating with a medico-philosophy degree in 1873 and a medicine degree in 1879.
Split into simpler sentences: She graduated from the Nya Elemnar-school in Stockholm in June 1872 and was the year after enlisting at Uppsala University. There she took her medico-philosophy degree in 1873 and a medicine degree in 1879.