Yes. The word Senate is capitalized because it is a proper noun referring to a governmental legislative body.
Examples of capitalizing the word include the U.S. Senate, the Senate, the state Senate, etc.
What about the word “senator?”
While the word Senate is capitalized, the role itself is lowercase when referring to a general senator or senators. However, if you refer to a specific senator by name, then you need to capitalize it. For example:
Not capitalized: The senators will vote on an important healthcare bill today.
Capitalized: The bill was opposed by Senator Bernie Sanders.