Both bikes are good bikes. However you may be happier with the GZ250 for a couple reasons.
1st, the GZ is a slightly larger bike which gives you more room to get comfy on and alter your sitting position a bit on a longer ride.
2nd, the Honda is a 2 cylinder engine with a lot more moving parts and stuff to break one day. This not a biggy in the Grand scheme of things but just be aware of it.
3rd, when Lynda took her riding lessons she had a Honda to ride. She absolutely hated it with a passion. She really wanted her GZ to train on. Her biggest complaint with the Honda was the transmission not shifting down to 1st gear when coming to a stop. The only way to get the bike into 1st was press down on the shifter after coming to a stop and shutting off the engine. Then it would clunk into 1st gear and she would restart the engine. I can't say for sure if all the Honda 250 bikes are like that but I did read on their forum that many riders had that particular issue.
Depending on your own physical size either may fit you comfortably. Both are good 1st bikes because they are not overwhelming with power and weight that a new rider surely doesn't need.
Let us know of your choice when you make a decision.
