Does the district of Columbia get 3 electoral votes?

yes

According to the 23rd Amendment to the U. S. Constitution, the District of Columbia is allowed to appoint the number of electors to which it would be entitled if it were a state, but never more than the number of electors from the least populous state.

Each of the seven least populous states has the minimum possible number of electors, three. And currently, the population of D.C. exceeds the population of Wyoming.