has it conferred honorary degrees on anyone?
Yes, to Sir Edward Albert Sharpey-Schafer, Sir Charles Scott Sherrington and César Roux
University of Bern
In the course of its history, the University of Bern has awarded honorary doctorates to outstanding people for contributions in different fields of society.

Sir Edward Albert Sharpey-Schafer, Sir Charles Scott Sherrington, César Roux, 
what is the meaning of general relativity? The geometric theory of gravitation. who was the first to put forward this study? Albert Einstein what were his major contributions to science? Mass–energy equivalence formula and theory of the photoelectric effect. did he work in any universities? Yes, in University of Bern. has he published any scientific studies? Yes, "Folgerungen aus den Capillaritätserscheinungen". when was the afore-mentioned university established? 1834 where does it rank, in comparison with other similar institutions? In the QS World University Rankings 2019 it ranked 139th.
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University of Bern [SEP] Honorary doctorates
In the course of its history, the University of Bern has awarded honorary doctorates to outstanding people for contributions in different fields of society. Sir Edward Albert Sharpey-Schafer, Sir Charles Scott Sherrington, César Roux, SIr Alan Lloyd Hodgkin, Georg von Békésy, Stephen W. Kuffler, George Emil Palade, Willy Burgdorfer, Iván Böszörményi-Nagy, David Sackett, Luc Pettavino Johann Büttikofer, Hans von Euler-Chelpin, Gerold Schwarzenbach, Richard R. Ernst, David Southwood Ernst Karl Abbe, Auguste and Louis Lumière, Jean-Daniel Gerber, Thomas J. Sargent, Maureen O'Hara (professor) Albert Samuel Gatschet, Erwin Heinz Ackerknecht Joseph Simon Volmar, Albert Anker, Cuno Amiet, Rudolf Münger, Alberto Giacometti, Walter Linsenmaier, Ilya Kabakov Charles Ferdinand Ramuz, René Gardi, Kurt Marti, Stefan Heym, John Edgar Wideman, John le Carré, Eveline Hasler Charles Albert Gobat, Rudolf Minger, Annemarie Huber-Hotz, Adolf Ogi, Angela Merkel, Prince Albert II of Monaco Hermann Müller-Thurgau, Eduard Herzog, Mathis Wackernagel, Heidi Tagliavini, Hannah Cotton, Stephen Kosslyn