First of all you came to the right place this is a helfull bunch.
1) read the stick posts here .
2) use the search engine to find info
3) ask questions
download and read a copy of army tc 9-524
south bend How to run a lathe
http://littlemachineshop.com/Info/MiniLatheUsersGuide.pdf
this is the manual that should have come with your lathe.
get some measuring tools.
1) 6" calipers digis are now cheap and will convert inch to metric.
2) 6" machinist rule
3) 0-1" or 0-25 mm micrometer.
4) t gauge set for measuring inside bores.
Layout tools
1)Scribe
prick punch
center punch
hemaphordite /jenny calipers
a square.
a fat poster marker
cutting bits
if you have a bench grinder easy to grind your own
you will need a drill bit set
drill chuck for lathe.
a few taps a tap handle
A file to debur in the lathe
a plan for an engine
http://littlemachineshop.com/Products/Drawings/2593OscillatingEngineAssembly.pdf
some metal see the Bill of materials on the plan.
Littlemachineshop,com has tooling packages for the mini lathe should you choose that route.