How can the relationship between the republican congress and president Andrew Johnson during the reconstruction be described?

In a Word, antagonistic. Johnson got almost no support from Congress. Indeed, he was impeached by the House, and just one Senator less than 2/3 of the Senators voted to remove him from office. Johnson was from Tennessee and was viewed as a Confederate sympathizer, which to some extent he was. Unlike much of Congress, he did not want to punish the South further for their revolt.