How do you feel about the blues? If you learn these 2 chord shapes you can do blues, albeit not any particular song.
With the E7 shape you can add/remove your third and/or 4th finger to give variety. The A7 shape, technically a 1/2 barre, is the B7 chord 2 frets up. You can also slide into the A7 or the B7 from a fret below or above. You’ll run out of ideas fairly quickly, but you can’t get more out of 2 chord shapes than that.
ETA, I make the A shape with my 3rd finger not my 2nd, but whatever.
I recommend you work through some structured lessons to help you continue moving forward. There are many Youtubers doing this, but I found Justin Guitar to be very helpful:
He starts you off with strumming patterns, transitioning between open chords and slowly working up.
One thing I wish I would’ve learned early is that a well setup guitar will help you learn faster and with less bad habits. I learned on an acoustic with the action a mile high (same with my first electric) and it was ingrained in me that I had to press SOOO HARD to fret chords. Once I finally got a well setup guitar with appropriate height action and lighter strings, I found that instrument was a lot easier.
Fender Play is offering 3 months of free online lessons. They’re geared mostly towards the complete beginner, up through beginner/intermediate. It’ll teach you basic technique and chords. Plenty of popular songs to learn, including from the 60s and 70s. Fender Play | Guitar Lessons by Fender
My very first guitar was set up terribly…worse, it was cheap and wouldn’t stay in tune. If you want to play well and enjoy your effort, a reasonably good set up is important.
Between the two of us Mrs. L and I have 6 guitars. My favorite to play is one of the less expensive ones. The height is set where the strings don’t rattle but they don’t require a ton of force either.
I go with D’Addario ultralight phosphor bronze strings because they sound great, but they need replacing more often. I chose the brand because they were a little less expensive—others are good too. It occurs to me that OP will want to consider getting a string winder for the future (hopefully the new ax arrived pre-strung). Also I use very thin picks (Clayton .38 triangles). And OP, to tune you can get an app for your phone. Pitches from thickest string to thinnest: E A D G B E is standard tuning. If you want a metronome, I bet you can find an app for that as well; try tapping your foot while you play. And if you haven’t found one yet you’ll want a capo…be sure you get one for steel strings, not nylon. Some get a cleaning cloth to wipe off the strings after each playing session because oils from your fingers build on strings and can dull the sound. Microfiber might work as well for that. Also to consider: strap (will require two buttons, but one is probably already installed at factory), bag/case. What did I miss, dopers?
I know you have an acoustic guitar, but for others that might have electrics:
While I don’t suggest you start learning here, if you are a self-learner and you’ve progressed some, I believe Rocksmith is a fun learning tool. I’ve played there a lot and now know lead and rhythm for a lot of songs. And, I bought an e-bass and that has been my main training tool. I wouldn’t say I’m awesome on that bass, but I can use a plectrum and finger pick fairly well now. I’m sad that it appears it’s a dead platform at this point, but there is a ton of songs on it.
I’ve found F is the chord that inspires beginning guitarists to quit. So build up a chord vocabulary without F first. The key of G (G, Am, C, D, Em) is good. There’s D ( D, Em, G, A, Bm) and for true 3 chord songs, there’s E (E, A, B7). You can get a lot of mileage out of those before you start on F.
If you haven’t looked already, Youtube has many, many people that have different methods of teaching guitar. Do a search for it, and find someone you’re comfortable with.
Key of A, as well. I’m only an occasional guitarist (keys are my main instrument), and F doesn’t really seem to show up too much in most rock music. The most likely context you see it is in the key of C (although you very occasionally will see it in G as a bVII chord). Luckily, most guitar songs tend to be in the keys of E, G, A, and D. I do remember F chords being a pain in the ass, and I never liked the four string version of it, but once I developed the strength and technique to bar a chord, it was fine. Bar(re) chords are essential in a guitarist’s arsenal, but don’t worry about those right now. There’s plenty you can do with barring.
ETA: Oh, and if you ever transition to electric guitar after learning to bar on an acoustic, you’ll be amazed at how effortless it is on the electric.