Don't let his sweet talk pull you into believing his lies.

pull 在这里是动词，本义是"拉、拖"，在这个语境中引申为"引诱、使陷入"的意思。pull someone into something 表示"把某人拉进某种状态或情况中"，在这里指"让你陷入相信他谎言的境地"。