PPC works in exactly the same way for any site, regardless of whether or not it is new.
Whether it is a good move in your case is another question. That will depend on how well you implement your campaign, how good you are at converting visitors to customers, what your budget is, and what your gross margin is. Since nobody here except you has that information, you can't expect to get useful answers.
As for whether there will be a "huge" drop in traffic when you finish your campaign, that clearly depends on how successful the campaign is. Again, nobody here can be expected to know the answer to that.
Clearly, you need to do some projections - not least a profit & loss and cash flow forecast. In fact, this should really be part of your business plan. If you don't know how to do that, hire someone who does. But don't rely on advice from people in forums who don't know anything about your business.