The phrase is pore over, meaning to study carefully or to peruse. It comes from a little-used sense of the verb pore—namely, to meditate deeply. In modern writing, this sense of pore rarely appears outside pore over.
Examples
These writers use pore over correctly:
Major employers are using specialist anti-union lawyers to pore over the legislation . . . [Libcom.org]
Young men pore over texts crammed with cursive script at the Zia ul Uloom madrassa in search of the values that define the Barelvi school of Islam . . . [Financial Times]
Yet I eagerly pore over them with the colossal seriousness that someone more educated than I might devote to a Kierkegaard treatise. [SI.com]