No. This is a cable modem and connects to a coax cable connection, a round connection. UVERSE is a DSL connection using a phone line, ethernet or fiber connection.
Some Uverse connections have a coax output that connects to your TVs if you have their TV service. Look on the back of your current box and the connection coming from ATT is a single connection that is usually Green or Blue, and is labeled with DSL, or WAN, or INTERNET.