Just to get by means they are struggling to keep their life in order. Bills to be paid and I'm sure that quite refers to their famiky. Making sure they have enough money to support their family to feed, clothe, and educate them.
Let alone get ahead means they aren't even worried about having a lot of money because they are focused on just having enough money for their family. Getting ahead in that quote would refer to having more money to take care of their family finances and extra money for shopping, travel, savings, and the like.