This page:
http://www2.lbl.gov/Publications/75th/files/exhibit.html

mentions 3 links between LBL and Arpanet:

- In 1974, the Lab’s CDC 6600 became the first online supercomputer when it was connected to ARPANET, the Internet’s predecessor.

- In 1986, when the Internet was on the verge of collapse from congestion, a Berkeley Lab researcher, Van Jacobson, co-developed the congestion control algorithms that allowed the Internet to keep growing.

- In 1995, Jacobson and Steven McCanne developed MBone, the first successful software for multiparty audio and video conferencing over the Internet.