Likely, the reason you acquired pseudomonas is due to bronchiectasis. Those without bronchiectasis fight off pseudomonas as they do not have a structural lung disorder. They are not "compromised". Thus, I do not believe pseudomonas is contagious to "healthy" people. They might breathe pseudomonas in, and out it goes. If you or I breathe in pseudomonas, repeatedly day after day, week after week etc [maybe an exposure from garden, shower etc] pseudomonas finds a weakness and takes hold. This is why twice a day airway clearance is the mainstay of treatment for bronchiectasis. It helps remove invaders, and the 7% saline makes our lungs inhospitable to pseudomonas and more.

I'm tagging @irenea8 who will no doubt have more insight.