No, Logic Pro is a one-time purchase of $199.99 and Premiere Pro is a monthly subscription, price varies if you’re buying monthly or annually.
For a free DAW (Digital Audio Workstation), I recommend GarageBand if you’re on a Mac. If not, Audacity works too, but I would much rather get Reaper, which is free for I think 60 days and then is a one-time purchase of $60. For a free video editor, Davinci Resolve is the best option—it’s as good as (or arguably better than) Premiere.
