So what is happening here? The first line is all quarter notes and half notes. You should feel comfortable with those by now. The second line has two new features: a "dot" and a "tie." Both of these features are usually necessary to describe syncopation.
A "dotted eighth note" is longer than a regular eighth note. The same goes for any other note you put a dot after. It lengthens the note by half of it's original value. This is one of the most complicated aspects of music reading and writing. It's difficult to describe well, but once you figure it out, it doesn't have to be difficult to play.