Current = The property is available, there is no contract signed on the property
Pending = The property has a contract with a offer to purchase, but..........many things happen between the pending date and the closing date. There might be some contingencies, such as the buyer needs to sell a house first, there are still inspections or there may be a financing contigency. So if something goes wrong the house will come back on the market.
If you find a property that you are interested in, but it says that it is pending, do not let it be a show stopper. Give me a call and I will ask if they are continuing to show the property and if they are accepting back up offers.