Also, the first d is very soft, and the final d is soft, for flow. This can vary depending on how fast you're talking and how much beer you have consumed. When singing Newfoundland's national :-) anthem, people usually pronounce the Ds more.
The New is pronounces more like Noo or the Nou in Nouveau than Nyu.
The foun is pronounced somewhere between fun and a fast feun, closer to the second.
The stress is mostly on the last syllable, then on the first, and the middle is like a trough between them.
So try `Noufeun(d)LANd'
Do not pronounce Newfoundlander as `Newfie' unless you know the person well. Some will take offense. `Newf' and 'Newfie' are like 'Yank' and 'Yankie' but with the added problem of association with derogatory minority jokes on the mainland of Canada, more than the US and elsewhere. And `American,' `Canadian' and `Newfoundlander' all have four syllables so don't be lazy.