I have been having great difficulty identifying this house plant. I have been told it is a begonia, but there are no blossoms on this plant.
It is a Begonia semperflorens or Wax Begonia Plant. Here is a picture of a Wax Begonia Plant in bloom.
Two suggestions to help your Begonia Plant bloom. Begonias, when grown as houseplants, need very bright indirect light to produce flowers. Feeding a Begonia Plant monthly with a fertilizer high in phosphorous at 1/2 the recommended strength helps the plant produce more flowers.