Your 10 gal is going to be considered "Nano" here. It's really a lot smaller than most of us think of "tank", and is going to be much harder to maintain than a tank with larger volume. But if you're dead set on trying, here's a breif list of things you might want to consider getting:
Sand (aragonite, not crushed coral... as fine a grain as you can find)
Live rock, about 10-15 lbs
RO/DI water and salt.
That's it for what goes in the tank, and you should leave it at that for a while.
You'll also need:
Lighting (be prepared for sticker shock here... you could easily drop $200 on lights). Get good lighting so you can keep interesting corals and what not... lighting is one of the major limitters in SW tanks.
Heating (cheap... but get a good one)
Circulation (a powerhead... not a bubble bar)
Skimmer... I have no idea what skimmer I'd use on a 10 gal, but you should get one... ask in the nano forums.
That should do you for equipment.
Now... test kits
Don't buy the crappy strip tests. Get Salifert tests for Ammonia, pH, Nitrite and Nitrate. Also get a refractometer rather than a plastic hydrometer. Keep close eye on these tests for the first few months, then drop back to a more weekly testing plan. Once your water tests 0 on Ammonia and Nitrite you should consider adding some detrivores like hermits and/or snails to keep your tank clean.
I'd bet you could get out under $750 if you buy this stuff from a store, and about half that if you shop for used stuff.