Breastfeeding and pumping

Maureen
Hello all,
I am currently breastfeeding my beautiful 8 day old baby girl.  She is doing SO well too! I just had a couple of questions.  My LO will feed from one breast, then take about a half hour or so break amd want to feed again.  Is this normal, or should I really be trying to get her to feed from both breasts in one "sitting"?  Also,  I would like to start pumping to have a supply for when I go back to work, as a teacher, for a couple of weeks at the very end of the school year.  Should I be feeding her from one breast and pumping the other, or feed her from both and then pump both?  Thanks in advance!  Picture of my baby girl: Lillian 😍❤️