Hello!  

I was born and raised in New York and I'm a new to the Boston area. From my time here so far I have noticed that there is not much a nightlife. I'm wondering if I'm just not looking in the right places.  
Anyone have any suggestions?

Bars and restaurants in Boston have a habit of closing rather early compared to New York, San Francisco and Los Angeles standards.  

Try patronizing an upscale lounge in your Boston neighborhood and asking the bartenders where the REAL late-night action is in town. Tell them what you're looking for: after-theatre dining? after-midnight cocktailing? dancing into the wee hours?
 
Good luck!