Click at the bottom of the 1st page:
Menu > Insert > Section Break
Click in the 2nd page.
Inspector > Layout > Section > Page Numbers > Start at: 1 > uncheck Use Previous headers & footers
Click in your header or footer on the 2nd page:
Menu > Insert > Auto Page Numbers…
Delete the page number in the first page if you get one.
Page Break is like a soft return in a paragraph it doesn't really start a new section just nudges your text over to the next page, which is something you frequently want without starting a whole new set of page numbers or layout.
Section Break is basically a chapter start with all that that entails, first page, headers, footers, page numbering etc.
If Word is muddling up the two, that is a flaw in Word.
This topic has been answered hundreds of times including for your (outdated) version of Pages 5.2.2 and for the current Pages 5.5.2.
You simply have found this 3 year old post.
There is no manual for Pages 5, just what is under the Help menu and whatever you can find on this and other Forums.
Start by helping yourself, looking through the Menus, the Toolbar, the Format Sidebar and trying things to see what happens.
If you find Pages 5 to be slow, awkward, obtuse and hard to use, you are simply discovering something the rest of us have been dealing with for almost 17 months since Pages 5 was launched and Apple sidelined the version that works: Pages '09.