Many of the computer programs I am told will do this change for you when you select the Bb trumpet from its menu.
Now yes, the notes are the same sound.
I do like to start with what a pianist calls a middle C as would sit on a ledger line between the Treble clef (G clef) and the bass clef (F clef), but visible only if it is there. Then alternating line and space ascend the the alphabet D in the space below the Treble clef, E on the lowest line of the Treble clef, F in the first space and G on the second line, then alternating start over with A in the second space followed by B on the middle line, C in the third space, D on the fourth line, E in the fourth space, and F on the top line continuing to alternate ascending above the treble clef. What you will then see is that ascending there are only 7 notes A thru G ... easier than the full alphabet.
Back to that "invisible" middle C, you could decend into the bass clef alternating again B,A,G,F,E,D,C,B,A, such descent reversing the ascent, and again on ledger lines (too invisble unless there are notes there) below the bass clef.
It's another lesson to introduce you to sharps and flats and to a natural symbol.
In copy of music you have to a computer program, it is just that "copy". If a note is a whole note, half note, quarter note, eighth note, sixteenth note or a 32nds note, such is what you must copy and on the same space or line. Look also for notes which have a dot following them (as add the time of half the value of the note before the dot to that note).
Have fun and enjoy ... learning isn't instant ... I'm still learning, and have been playing brass horns since the 5th grade, age 11 which was in 1947.