Weil is best known for her starring role as Paris Geller in the WB/CW comedy-drama series Gilmore Girls (2000–2007) and its Netflix revival series Gilmore Girls: A Year in the Life (2016). She is also known for her roles as White House aide Amanda Tanner in the ABC political drama series Scandal (2012) and as attorney Bonnie Winterbottom in the ABC legal drama series How to Get Away with Murder.
In February 2010 Weil began a run as Dr. Glass on the popular Internet series Anyone But Me; series creator Susan Miller officiated at Weil’s wedding to Paul Adelstein in 2006.
Weil married actor Paul Adelstein in a Reform Jewish ceremony in November 2006. They had previously known each other through theatrical projects. The two went on to appear together in three film projects: the short film Order Up (2007), the Gregory Dark-helmed Little Fish, Strange Pond (2008), and The Missing Person (2008). She also appeared in a 2011 episode of Private Practice, although she and Adelstein had no scenes together. The couple welcomed a daughter, in April 2010. Weil filed for divorce from Adelstein in March 2016, citing irreconcilable differences. The divorce was finalized in November 2017