updated 03/25/2010 AT 12:00 PM ET
•originally published 03/25/2010 AT 1:55 PM ET
On Tuesday, the Grammy award winner was having a ball during a group date, which included best bud Selena Gomez, at a Studio City bowling alley. One big reason? She was getting close to Glee star Cory Monteith, who had “great chemistry” with the country singer, an eyewitness tells PEOPLE.
“While everyone in the group seemed to get along great and had fun, Taylor received a lot of attention from Cory,” the source says. “Several times while they chatted, Cory pulled Taylor close to him and gave her a big, loving hug. Taylor seemed to love the attention and was beaming.”