hi! i have an offer for cambridge classics undergrad and my interest largely leans towards literature rather than history but i can try to help!
remember since classics is interdisciplinary and has sooo many elements you dont have to know everything, so find what interests you most!
personally i havent even read many books, but i love listening to podcasts! there are so many on spotify, and i find natalie haynes super easy going and interesting to listen to with a great range of topics! other recommendations i have are 'lets talk about myths, baby' (obviously about myths, not history, but ive been listening for years) and the History of Rome podcast (quite monotonous but has a complete history of rome to get an understanding)
if you enjoyed the set texts for latin (which ones did you do?? i do virgil for both verse, then cicero and tacitus

) ) and want to look at more literature, then branching off from those authors in whatever direction interests you is also a good starting place, or even reading some of the other set texts from different years. for example, i read some of Virgil's georgics since i really like the natural descriptions in the Aeneid.
If you haven't read the iliad or aeneid and think they could interest you, then go for it! they're honestly great books. i mean to read emily wilson's translation of the odyssey this summer too

if you don't feel like reading them, alternatively could explore retellings such as silence of the girls and a thousand ships, or madeline millers books.
check out this list too!
https://ellesthetics.wordpress.com/2020/06/12/7-must-reads-for-budding-classicists/like i said ive barely had any time to actually sit down and read lol, but ive read some of the roman revolution and it seems good (warning though, its LONG, 524 pages)! augustan rome is a more manageable 137 pages. the greeks and romans in 10 chapters by nigel spivey is also an amazing introduction to an overview, plus the cover is beautiful enough to buy it for that alone haha. honestly any book from this list will be an amazing read.
also you could visit any sites or museums near you, even galleries, as seeing artifacts and sites in person is equally valuable! the only (social) history i mentioned on my personal statement were the findings at vindolanda, with small every day items of jewellery and dice etc
the beauty of classics is how you can find anything that interests you! dont worry about having an all-encompassing knowledge across loads of areas of classics, just find a niche which you find cool! explore with different media and eventually you'll find something which youll love
if you have any questions or wanna talk abt anything classics related ask away

) sorry for the long ramble!