A pore is small opening in a surface that lets stuff through. To pour, on the other hand, means to flow continuously and rapidly.

A pore is a little hole in a surface that lets gases, liquids, and microscopic elements through. The surface might be your skin (think of all those clogged pores suffered through in teen years) or something else, like a filter:

With the sweat starting from every pore he essayed a few more steps, stumbled, and in clumsily catching his balance, his hat fell off. (James Beardsley)

Solid bodies are not absolutely so, all undoubtedly containing pores, or spaces void of matter. (Thomas P. Jones)

As a verb, to pore is used with through or over and means that you are absorbed in the study of something or that you are reading something intensely. For example:

He spent more than 10 hours on the manuscript, poring over the details and asking faculty members for advice. (Nature)

Meanwhile, players pore over Polaroid photographs during breaks or wait as officials measure out first downs using sticks attached to chains. (New York Times)

On the other hand, to pour is to flow, like when you pour yourself a glass of water while it pours down rain.Usually an inanimate object is poured, but people can pour, too:

The donations began pouring in on Thursday, many of them delivered electronically and accompanied by politically tinged comments. (New York Times)

Within seconds, other heavily armed cops are pouring out the car, guns drawn, to surround the now disabled jet. (Time)

So her group and others are pouring energy into training mounted riders to fend off wolves. (New York Times)

After you pore over the difference between these words, pour yourself a glass of lemonade and say, “This one’s for U!”