It's easy enough.  You create your LTC-Global account, move your LTC into the wallet the site generates, then purchase securities based on how you feel they will preform in the future.  Most pay a dividend--check out the history on each one and see.

To buy at market price, you click the "fill" button under the Sell column of an asset--you can also place a buy "bid" to offer to buy the asset at below market price.  if enough people want to sell, they'll buy your bid and you'll have shares.  Buying at market is more expensive but immediate, waiting for a bid to complete will get your a lower cost, but will take more patients.