I can only speak for myself, but FWIW....
It's not so much a matter of not getting out of breath, as it is finding your own pace and rhythm so that your breathing is somewhat controlled.
Back when I was running, there was a natural breathing rhythm I would fall into. Yes, I was out of breath but not breathless, if that makes sense.
Gasping for air means you are pushing yourself too hard. Unless you are doing intervals or sprints, then you shouldn't be gasping.
If you are gasping for air, or would be unable to speak more than one or two words at a time, then you are probably trying to go too fast and need to slow down.
As you build your stamina & lung capacity, and as the weight comes off, you will find that your speed will increase.
