1 of 2

Not exactly. The meaning is closer to "live your everyday life". Let's look at it another way. Here's an entry for go about from TFD:

go about
2. To execute some routine: From my office on the top floor, I could observe all the city's workers going about their business.

Your day just refers to your typical day, your daily activities. So another way to interpret "go about your day is" is execute your daily routine.