do Wally and the Beav have?
I was watching season two where Wally has a birthday and Beave buys him a cheap toy.

While opening up his presents, June hands him an envelope and says its from your uncle so and so. What was his name and how many siblings did June and Ward have?

Ward has at least one brother (Frank?), and one sister, he may have another brother.
Uncle Billy is Ward's dad's brother.

June, I think, has a sister.

Yeah, I think at least once Ward mentioned "the other brothers." And I'm pretty sure he mentioned a sister.

Re June, she went to stay with a sister, when (her) Aunt Martha came to stay with the boys. That was the episode where she forced Beaver to wear the shorts to school. But I forget the sister's name.We never hear about June's parents, and why she was basically raised by her Aunt Martha. The only thing we knew of Ward's parents was that his father definitely didn't spare the rod, and maybe some other misc. comments about him here and there. Possibly some of Beaver and Wally's aunts and uncles are mentioned by name when Beaver opens his birthday gifts (cash, I think) in the fifth season, but not whose side of the family they're on (other than Uncle Billy, who we know is Ward's uncle).

do Wally and the Beav have?
I was watching season two where Wally has a birthday and Beave buys him a cheap toy.

While opening up his presents, June hands him an envelope and says its from your uncle so and so. What was his name and how many siblings did June and Ward have?

The last present was a pen and pencil set from Uncle Tom in Florida.

Not clear whether whether Uncle Tom was from Ward or June's side.

Now, when it was Beaver's birthday, he got cash from Aunt Martha, Aunt Mary, Cousin Ronnie, and Uncle Billy.

I also believe Beaver mentions Uncle Harry’s funeral in Beaver’s Tree. June’s sister was Peggy. I think Uncle Tom is from Florida. (Beaver’s Bad Day)

Chopper had an Uncle Dave. LOL

in the poor loser ep the beav told gilbert that he had an aunt mildred

I also believe Beaver mentions Uncle Harry’s funeral in Beaver’s Tree. June’s sister was Peggy. I think Uncle Tom is from Florida. (Beaver’s Bad Day)

Chopper had an Uncle Dave. LOL

June: "Won't you come in, Mr. ... uh ... Uncle Dave?"

And, of course, when Aunt Martha came to stay, we learned that one of Ward's relatives (an aunt) was married to a man Wally and Beaver weren't supposed to talk about.