Wonder Bread is just gross junk food. Also, if you consult the label again, it's worse than that. The 5g added sugar is for 57g of bread, so it's nearly 10% sugar by mass.
There are good brands here. I usually get Dave's Killer Bread. It still has some added sugar, but there are varieties with fairly small amounts.
I keep a little bit of the sweet stuff around for special dishes, But usually I stop by the bakery department and get something the bakery made. If you're picky and choosey about the brands you can easily find some regular shelve bread that are 2% or less which is still too much but better.