From Wikipedia:
Senate
In the 1950 mid-term elections, Nixon ran against Democratic Representative Helen Gahagan Douglas for a seat in the U.S. Senate, representing California.[37] The campaign is best remembered as one of the most contentious of the times. Nixon felt the former actress was a left-wing sympathizer, labeling her “pink right down to her underwear.”[37] Conversely, Douglas referred to Nixon as “Tricky Dick”.[37] In the November election, Nixon defeated Douglas.
In the Senate, Nixon took a prominent position in opposing the spread of global communism, traveling frequently and speaking out against “the threat.”[37] He also criticized what he perceived to be President Harry S. Truman’s mishandling of the Korean War.[37] He supported statehood for Alaska and Hawaii, voted in favor of civil rights for minorities, and supported federal disaster relief for India and Yugoslavia.[38] He voted against price controls and other monetary controls, benefits for illegal immigrants, and public power.[38]
Yes, Richard Nixon was a Senator.
Got to remember to fact check before I post.