Hej, jeg hedder Matt og jeg vil gerne lære dansk. Jeg kommer fra Washington DC, USA, men min bedstemor kommer fra København. Jeg taler en meget lidt dansk, men jeg vil gerne lære mere. Kan du hjælpe mig, bedes?
I changed 'goddag' to 'hej' because it's a bit less formal, but your version wasn't wrong. In Danish, words like 'Danish' and 'Dane' are written with low capital letters - 'dansk' and 'dansker'. I assume the last sentence originally ended on 'please', however, it's not really a word you can/need to translate into Danish, therefore I stroke it.