Connect one conductor of the dipole's feed line in place of the antenna on the radio. (It may be removable by a screw. If not, shorten the telescoping antenna as much as it goes and gently clamp the wire onto it instead.
The other conductor should go to the circuit ground of the radio. Try the first one of these you can find:
- A provided antenna ground terminal (GND, ⏚) is best.
- If the radio's case is metal attach it to that.
- Otherwise try other case screws. (Avoid any other electrical connectors like the radio's audio output; this could cause damage, especially as many “FM dipole antennas”, including the one you showed, are folded dipoles where there is DC continuity through the antenna.)
Listen to a weak station while you experiment to notice whether there are any results.