Just running Postgres on an NVDIMM, or any other database for that matter, will give you a large speedup compared to normal storage, especially when you have strong durability requirements for a transaction (fsync() will be faster).

But to fully benefit from persistent memory, the DBMS will need to modified. To see how that might look, read this [0] post by Microsoft about their efforts in SQL Server.

There's also an interesting research paper from CMU [1] that talks about challenges associated with pmem in the context of databases.

[0] - https://blogs.msdn.microsoft.com/bobsql/2016/11/08/how-it-wo...

[1] - https://www.cs.cmu.edu/~jarulraj/papers/2015.storage.sigmod....