Does the Senate choose a Speaker, as the House of Representatives does?

No. The person who is chosen by the people to be Vice President of the United States is made by the Constitution, President of the Senate; his duties are like those of the Speaker of the House of Representatives, except that he is not obliged to keep order in debate.

#LEG70

Related questions

#LEG85 Do the two houses, that is the Senate and the House of Representatives, meet in the same building? (Congress and Representation) Yes.
#LEG86 May either house remove to any other place? (Congress and Representation) No, not unless the other house moves also.
#EXE198 If the Vice President, now serving as the President, shall be removed from office or resign, who shall carry out his duties of office? (Presidency and Executive Power) The Speaker of the House shall become the President in this case. If he should die, leave or be removed from office, the Senate president pro tempore shall serve. From there, there is a line of succes...
#EXE197 If the President should die, be removed from office, or resign, who shall carry out his duties of office? (Presidency and Executive Power) The Vice President shall carry out his duties of office.
#LEG42 Do the members of the Congress of the United States all meet together in one assembly when they make the laws? (Congress and Representation) No: they meet in two different assemblies, one of which is called the Senate, and the other is called the House of Representatives.
#RGTS340 What is the Twenty Fifth Amendment? (Rights and Amendments) The Twenty Fifth Amendment allows for the Vice President to become President if the President is unable to fulfill the duties of his office.
#EXE194 How is the Vice President chosen? (Presidency and Executive Power) Originally, electors could vote for one of two candidates for President and the candidate with the second highest vote tally would become Vice President. Since the 12th Amendment, however, electors co...
#LEG60 When the members of the House of Representatives meet to make the laws, are they all equal or does anyone preside over them? (Congress and Representation) They choose one of their own number, whose duty it is to preside over them while they are assembled to do business, and to see that they proceed in a regular and orderly manner in doing their public d...