Some of the most scientifically valuable transiting planets are those that were already known from radial velocity ( RV ) surveys . This is primarily because their orbits are well characterized and they preferentially orbit bright stars that are the targets of RV surveys . The Transiting Exoplanet Survey Satellite ( TESS ) provides an opportunity to survey most of the known exoplanet systems in a systematic fashion to detect possible transits of their planets . HD 136352 ( Nu ^ { 2 } Lupi ) is a naked-eye ( V = 5.78 ) G-type main-sequence star that was discovered to host three planets with orbital periods of 11.6 , 27.6 , and 108.1 days via RV monitoring with the HARPS spectrograph . We present the detection and characterization of transits for the two inner planets of the HD 136352 system , revealing radii of 1.482 ^ { +0.058 } _ { -0.056 } R _ { \oplus } and 2.608 ^ { +0.078 } _ { -0.077 } R _ { \oplus } for planets b and c , respectively . We combine new HARPS observations with RV data from Keck/HIRES and the AAT , along with TESS photometry from Sector 12 , to perform a complete analysis of the system parameters . The combined data analysis results in extracted bulk density values of \rho _ { b } = 7.8 ^ { +1.2 } _ { -1.1 } gcm ^ { -3 } and \rho _ { c } = 3.50 ^ { +0.41 } _ { -0.36 } gcm ^ { -3 } for planets b and c , respectively , thus placing them on either side of the radius valley . The combination of the multi-transiting planet system , the bright host star , and the diversity of planetary interiors and atmospheres means this will likely become a cornerstone system for atmospheric and orbital characterization of small worlds .