When I first started running, I jogged, which was actually barely more than my walking speed, for 10m, than walked 10m. Eventually you start jogging longer and walking less. If you find a good distance for you, for me it was 5k, I just started trying to go faster. Speed up for 20m, back to jogging, speed up, etc, etc until you can sustain that new speed throughout the run. Went from dying after 50m to running 5k in sub 20 min and 10k in sub 50 in like 8 months and losing 20 kg in the process.

I always hated the first 10 to 15 minutes of my runs, but once I got passed that I got into a flow state of sorts and it was meditative.