What type of transformer is used in LLC converters? Is resonant or pulse the same thing?
A transformer used in an LLC converter could be a pulse transformer or, in fact, any transformer suitable for use at the operating frequency. It's not the transformer itself that is resonant; it's the use of it along with the capacitor shown as \$C_r\$ that produces a resonant frequency. Providing that the magnetization inductance (\$L_m\$) and leakage inductance (\$L_l\$) of the transformer's primary is well defined and fairly stable, then you get a defined resonant frequency. Using an extra inductance external to the transformer makes life easier of course but I'm not sure in your diagram if that's the case.

Only there, next to it, there is also a magnetizing inductor (Lm).

All transformers have a primary magnetization inductance - it's basically the inductance of the primary winding (secondary ignored or not connected). It will usually dominate \$L_l\$.