My main guitar is an older black custom Les Paul that looks like yours but beaten up a fair bit.
The first thing you do is play the hell of it to work it in and get used to it, and visa versa. It took I while for me to stop popping strings because I bend and pull a lot.
You need an amp and I suggest something smaller unless you are performing with it. Buying an amp is as personal as buying a guitar but if you get a small Fender tweed or Marshall you won't go wrong. Next, you will need some effects and again that's personal and depends what you are looking for and how much money you want to spend. Boss makes lots of nice effects and multiboxes to get you going but they never last that long under hard use in my experience. Make sure the box or boxes allow you to use headphones so you can play and practise to your heart's content without getting evicted or divorced. If you want to sound like a strat or want to sound like a particular famous guitar/amp rig there are several that have them preset, although they can be cheesy untik adjusted.
This is one heavy guitar to get used to so get a comfortable strap.
You'll probably want a wah wah pedal at some point and there are many good ones from the old crybaby to digital pedals.
Last comment. If you can get a device with a mixer and headphone monitor for mixed signals you can play along ( quietly) both for fun and to learn from Albert King, BB., Clapton and if you are brilliant, Hendrix and Coryell etc. and then see how you sound on your favourite tracks.
Congrats on your first guitar. Enjoy!
" Sure, I'm a genius - but I'm no HJK" - Albert Q. Einstein