My furnace is 2 yrs old. Lately, I hear it kick on, and then in a few minutes I hear the blower kick on, but before the blower shuts off, I hear the furnace kick on again. Sometimes it does this 3 or 4 times in a cycle. Is this normal? Could it be the digital thermostat?

Not normal. Have you kept your furnace filter clean or replaced it lately?
Are all your return air and supply registers open?
If that fails I would call a professional to determine what the problem actually is.