First, follow the instructions at help.getpebble.com to get your Pebble watch connected to the phone.
Next you need to install the new Golf Pad Pebble app to enable the features. Just follow this link on your phone: https://apps.getpebble.com/applications/55a52a286c364f60b8000036. Or search for "Golf Pad" in the Pebble or Pebble Time app on your phone and select the version that has the watch app (as opposed to companion-only app).
Then open Golf Pad settings and enable Pebble link. Note, Golf Pad Premium subscription is required.
Finally, start a new round in Golf Pad and select a course. You should be able to see the distances on your Pebble now. If they don's show up automatically, please press the middle right button and select 'Golf Pad' from the list of apps.