Did Germany need funding comparable to the US Two-Ocean Navy program to build the fleet it wanted?
Short answerYes, and probably more, because Germany began with a much weaker base of experienced people, industry, and infrastructure.
NotesThe prompt suggests that Germany needed funding on the scale of the United States' Two-Ocean Navy expansion. Germany would probably have needed still more to overcome its weaker starting position. The United States already possessed experienced personnel, industry, infrastructure, and institutional depth that could turn money into ships more effectively. Construction budgets cannot be compared sensibly without also comparing the naval systems those budgets mobilize.