The naming is a bit awkward. The "forwarding" happens inside a core/logical processor, as follows. If you first do a STORE, it will go to the store buffer to be flushed to memory asynchronously. If you do a subsequent LOAD to the same location ON THE SAME PROCESSOR before the value is flushed to the cache/memory, the value from the store buffer will be "forwarded" and you will get the value that was just stored. The read is "passing" the write in that it happens before the actual write from store-buffer to memory (which has yet to happen).
The statement isn't saying much actually if you just care about the ordering rules - this forwarding is a detail of what they do internally to guarantee that (on a processor) reads are not reordered with older writes to the same location (part of the rule you quoted).
Despite what some of the other answers here state, there is (at least as far as ordering guarantees go) NO store-buffer forwarding/snooping between processors/cores, as the 8.2.3.5 "Intra-Processor Forwarding Is Allowed" example in the manual shows.
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